Question: What four-engine turboprop military transport is operated by No. 84 Wing?

Context paragraphs:
Military transport aircraft: Military transport aircraft or military cargo aircraft are typically fixed wing and rotary wing cargo aircraft which are used to airlift troops, weapons and other military equipment by a variety of methods to any area of military operations around the surface of the planet, usually outside the commercial flight routes in uncontrolled airspace.  Originally derived from bombers, military transport aircraft were used for delivering airborne forces during the Second World War and towing military gliders.  Some military transport aircraft are tasked to perform multi-role duties such as aerial refueling and, rescue missions, tactical, operational and strategic airlifts onto unprepared runways, or those constructed by engineers.

Lockheed L-1249 Super Constellation: The Lockheed L-1249 Super Constellation was a turbine-powered version of the Lockheed Constellation aircraft family.  Built in 1954 and 1955, the aircraft were used as prototypes for possible future turboprop military transport aircraft for both the United States Air Force and United States Navy.  Both aircraft saw very short lives and the airframes were later used to build L-1049 Super Constellations.

Lockheed C-130 Hercules: The Lockheed C-130 Hercules is a four-engine turboprop military transport aircraft designed and built originally by Lockheed (now Lockheed Martin).  Capable of using unprepared runways for takeoffs and landings, the C-130 was originally designed as a troop, medevac, and cargo transport aircraft.  The versatile airframe has found uses in a variety of other roles, including as a gunship (AC-130), for airborne assault, search and rescue, scientific research support, weather reconnaissance, aerial refueling, maritime patrol, and aerial firefighting.  It is now the main tactical airlifter for many military forces worldwide.  Over forty variants and versions of the Hercules, including a civilian one marketed as the Lockheed L-100, operate in more than 60 nations.

Hawker Siddeley Andover: The Hawker Siddeley HS 780 Andover is a twin-engined turboprop military transport aircraft produced by Hawker Siddeley for the Royal Air Force developed from the Avro-designed HS 748 airliner.  The Andover was named after the Avro Andover, a Royal Air Force (RAF) biplane transport used for medical evacuation between the first and second world wars; and RAF Andover, where trials of the aircraft were partially carried out.  The Andover had a kneeling landing gear to make ramp loading easier.

Antonov/Taqnia An-132: The Antonov/Taqnia An-132 is an improved version of the Antonov An-32 twin-engined turboprop military transport aircraft being developed jointly by Saudi Arabia and Ukraine.

No. 84 Wing RAAF: No. 84 Wing is a Royal Australian Air Force (RAAF) transport wing.  Coming under the control of Air Mobility Group (AMG), it is headquartered at RAAF Base Richmond, New South Wales.  The wing comprises No. 34 Squadron, operating Boeing 737 and Bombardier Challenger 604 VIP jets; No. 37 Squadron, operating Lockheed Martin C-130J Super Hercules medium transports; and a technical training unit, No. 285 Squadron.

Antonov An-32: The Antonov An-32 (NATO reporting name: Cline) is a twin-engined turboprop military transport aircraft.

Airbus A400M Atlas: The Airbus A400M Atlas is a multi-national, four-engine turboprop military transport aircraft.  It was designed by Airbus Military (now Airbus Defence and Space) as a tactical airlifter with strategic capabilities to replace older transport aircraft, such as the Transall C-160 and the Lockheed C-130 Hercules.  The A400M is positioned, in terms of size, between the C-130 and the C-17; it can carry heavier loads than the C-130, while able to use rough landing strips.  Along with the transport role, the A400M can perform aerial refuelling and medical evacuation when fitted with appropriate equipment.

Lockheed Martin C-130J Super Hercules: The Lockheed Martin C-130J Super Hercules is a four-engine turboprop military transport aircraft.  The C-130J is a comprehensive update of the Lockheed C-130 Hercules, with new engines, flight deck, and other systems.  The Hercules family has the longest continuous production run of any military aircraft in history.  During more than 60 years of service, the family has participated in military, civilian, and humanitarian aid operations.  The Hercules has outlived several planned successor designs, most notably the Advanced Medium STOL Transport contestants.  Fifteen nations have placed orders for a total of 300 C-130Js, of which 250 aircraft have been delivered as of 2012 .

Breguet 941: The Breguet 941 was a French four-engine turboprop STOL transport aircraft developed by Breguet in the 1960s.  Although widely evaluated, it was not built in large numbers, with only one prototype and four production aircraft being built.

Supporting paragraphs: No. 84 Wing RAAF Lockheed Martin C-130J Super Hercules
Answer: Lockheed Martin C-130J Super Hercules