**Exhibit 31.2**

**CERTIFICATION PURSUANT TO SECTION 302 OF THE SARBANES-OXLEY ACT OF2002**

I, Francis J. Leonard, Chief Financial Officer and Vice President of Apropos Technology, Inc.,certify that:

1.                I have reviewedthis report on Form 10-K of Apropos Technology, Inc.;

2.                Based on myknowledge, this report does not contain any untrue statement of a material factor omit to state a material fact necessary to make the statements made, inlight of the circumstances under which such statements were made, not misleadingwith respect to the period covered by this report;

3.                Based on myknowledge, the financial statements, and other financial information includedin this report, fairly present in all material respects the financialcondition, results of operations and cash flows of the Registrant as of, andfor, the periods presented in this report;

4.                The Registrant’sother certifying officers and I are responsible for establishing andmaintaining disclosure controls and procedures (as defined in Exchange Act Rules 13a-15(e) and15d-15(e)) for the Registrant and have:

a)                Designed suchdisclosure controls and procedures, or caused such disclosure controls andprocedures to be designed under our supervision, to ensure that materialinformation relating to the Registrant, including its consolidatedsubsidiaries, is made known to us by others within those entities, particularlyduring the period in which this report is being prepared;

b)               Evaluated theeffectiveness of the Registrant’s disclosure controls and procedures and presentedin this report our conclusions about the effectiveness of the disclosurecontrols and procedures, as of the end of the period covered by this reportbased on such evaluation; and

c)                Disclosed in thisreport any change in the Registrant’s internal control over financial reportingthat occurred during the Registrant’s most recent fiscal quarter that hasmaterially affected, or is reasonably likely to materially affect theRegistrant’s control over financial reporting; and

5.                The Registrant’sother certifying officers and I have disclosed, based on our most recentevaluation of internal control over financial reporting, to the Registrant’sauditors and the audit committee of Registrant’s board of directors (or personsperforming the equivalent functions):

a)                All significantdeficiencies and material weaknesses in the design or operation of internalcontrol over financial reporting which are reasonably likely to adverselyaffect the Registrant’s ability to record, process, summarize and reportfinancial information; and

b)               Anyfraud, whether or not material, that involves management or other employees whohave a significant role in the Registrant’s internal control over financialreporting.
| Date:  March 30, 2005 | ** **                                    |
|----------------------------|-----------------------------------------------|
|                       | /s/ FRANCIS J.  LEONARD                       |
|                       | Francis J. Leonard,                           |
|                       | *Chief Financial Officer and  Vice President* |

 

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