As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
JUST BEFORE TOP OF DESCENT AT FL370, THE NR 4 ENGINE FLAMED OUT. THE ENGINE WAS RESTARTED NORMALLY AT FL310 AND PERFORMED WITHOUT ANY PROBLEMS FOR THE REMAINEDER OF THE FLIGHT. MAINTENANCE VISUALLY INSPECTED THE ENGINE WITH NO DEFECTS NOTED. THE ENGINE FUEL FILTER AND EVC FUEL FILTER WERE REPLACED AS A PRECAUTION.