I have received a 1099-MISC for a sweepstakes prize I won valued at $2200. The FATCA box on the 1099-MISC was checked. As I was going through my tax program it has alerted me regarding Form 8938. Am I required to fill out this form 8938? If so, I am not sure how to do it.

You need to report the income on 1040 line 21 as other income ; Since the FATCA filing requirement box is checked, the payer is reporting on this Form 1099 to the IRS. You also may have a filing requirement. i Do not think you need to file the form 8938.
Please refer to the website here; https://www.irs.gov/businesses/corpo...nancial-assets