Question: The KVLY-TV mast is the fourth tallest structure in the world behind the megatall skyscraper that is how many stories in height?

Context paragraphs:
List of tallest buildings and structures: The world's tallest artificial structure is the 829.8 m Burj Khalifa in Dubai (of the United Arab Emirates).  The building gained the official title of "Tallest Building in the World" and the tallest self supported structure at its opening on January 9, 2010.  The second-tallest self-supporting structure and the tallest tower is the Tokyo Skytree.  The tallest guyed structure is the KVLY-TV mast.

Kline Iron and Steel: Kline Iron and Steel was a company based in Columbia, South Carolina.  Established on February 23, 1923, as Kline Iron and Metal Co., since 1953 was primarily known for the construction of broadcast towers.  This includes the world's tallest completed man-made structure, the KVLY-TV mast, surpassed only by the recently completed Burj Khalifa.

Burj Khalifa: The Burj Khalifa (Arabic: برج خليفة‎ ‎ , Arabic for "Khalifa Tower"; pronounced ), known as the Burj Dubai before its inauguration, is a megatall skyscraper in Dubai, United Arab Emirates.  With a total height of 829.8 m including the antenna and a roof height of 828 m , the Burj Khalifa is currently the tallest structure in the world since topping out in late 2008.

KVLY-TV mast: The KVLY-TV mast (formerly the KTHI-TV mast) is a 2,063 ft (628.8 m) tall television-transmitting mast in Blanchard, Traill County, North Dakota, United States, used by Fargo station KVLY-TV channel 11.  Completed in 1963, it was the tallest structure in the world until succeeded by the Warsaw radio mast in 1974, which collapsed in 1991, again making the KVLY-TV mast the tallest structure in the world until the Burj Khalifa overtook it in 2010.  It remains the fourth-tallest structure in the world (since the construction of the Tokyo Skytree and the Shanghai Tower), the tallest structure in the western hemisphere, and the tallest radio mast in the world.

KRDK-TV mast: The KRDK-TV mast is a television transmitting tower in Traill County, North Dakota, United States.  At 2060 ft (628 m), it is the fifth-tallest structure in the world, shorter by 3 ft (1 m) than the KVLY-TV mast which stands 5 miles away in northeast direction.

Tradewinds Square: The Tradewinds Square Tower A is a proposed megatall skyscraper in Kuala Lumpur, Malaysia located at Jalan Sultan Ismail.  It will be 775 m high and have 150 stories.  The building will be constructed on the site of the former Kuala Lumpur Hilton Hotel.  It will be the tallest building in Malaysia and the fourth tallest building in the world in 2024.

Griffin Television Tower Oklahoma: Griffin Television Tower Oklahoma (also known as KWTV Mast) was a 480.5 meter (1,576 ft) high guy-wired aerial mast for the transmission of two television stations in Oklahoma City, Oklahoma, United States (Geographical coordinates: ) built in 1954.  The stations which transmitted from the tower were KWTV-DT and KETA.  It was the tallest structure in the world at the time it was built, and it was the first structure to surpass the Empire State Building in height.  The tower featured multiple levels of double guy wires to protect it against severe wind storms.  In 1956 KOBR-TV Tower in Caprock, New Mexico, took over the role as world's tallest structure.  The tower was deconstructed in 2015.

Burj Mubarak al-Kabir: The Burj Mubarak al-Kabir is a proposed megatall skyscraper in Kuwait City, Kuwait.  It will be part of the future city called Madinat al-Hareer.  Expected completion is unknown.  If built, it would become the world's tallest building, surpassing the Burj Khalifa in Dubai.  Its height is in order to reflect the folk tale collection One Thousand and One Arabian Nights If built, The tower will be the tallest skyscraper in Kuwait, surpassing Al Hamra Tower.

KATV tower: The KATV tower was a 2000 ft (609.6 m) tall television mast (or antenna tower) built near Redfield, Arkansas in 1967 at .  It was the second tallest structure in the world, after the KVLY-TV mast in North Dakota, when it was built.  s of August 2006 it was tied with 15 other 2000-foot masts, all built after it, as the fifth tallest structure in the world (sixth, counting the submerged Petronius oil platform).

Shanghai Tower: The Shanghai Tower () is a 632 m , 128-story megatall skyscraper in Lujiazui, Pudong, Shanghai.  As of 2015, it is the world's tallest building, by height to highest usable floor (Level 127, 587.4 m).  It also has the world's highest observation deck within a building or structure (Level 121, 561.25 m), and the world's fastest elevators at a top speed of 20.5 m/s (74 km/h; 46 mph ).  It is the world's second-tallest building by height to architectural top (behind Dubai's Burj Khalifa, 828 m) and the world's third-tallest structure (behind Tokyo Skytree, 634 m).

Supporting paragraphs: KVLY-TV mast Shanghai Tower
Answer: 128-story