As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
INFLIGHT SHUT DOWN/AIR TURNBACK/DECLARED EMERGENCY. FUEL GAUGES WERE EQUAL ON TAKEOFF ABOUT 6 MIN AFTER TAKEOFF WE NOTICED A 900 LB IMBALANCE NR 1 SIDE LOW. AT 15 MIN AFTER T/O 1700 LB IMBALANCE NR 1 SIDE LOW. NR 2 GAUGE DECREASED AT NORMAL RATE & NEVER INCREASED. NR 2 WING VERY HEAVY IMBALANCE INDICATED 3000 LBS AFTER QRH REFERRAL. THE DECISION WAS MADE TO SHUT DOWN NR 1 ENGINE. LANDED UNEVENTFULLY. R&R ENGINE FUEL FEED ACTUATOR PER AMM.