SMA ENCOUNTERS FOG AT DEST ARPT. TRIES TO DIVERT; RUNS OUT OF FUEL.

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I WAS ON AN IFR FLT PLAN TO POINT LOOKOUT; MO. THE FORECAST WX WAS 2500 SCATTERED TO BROKEN AT POINT LOOKOUT. I CANCELLED MY IFR AT DOGWOOD VOR AFTER CALLING FLT WATCH. FLT WATCH AGAIN RPTED 2500 SCATTERED TO BROKEN. I DSNDED TO 2000 FT MSL AND APCHED POINT LOOKOUT. I COULD NOT IDENT THE RWY DUE TO HVY FOG. THIS FOG WAS LAKE INDUCED AROUND THE ARPT AND WAS UNFORECAST. I MADE SEVERAL ATTEMPTS TO IDENT POINT LOOKOUT WHILE MAINTAINING VFR. I THEN DECIDED TO FLY S TO HARRISON BUT FOUND THE S TO BE A 'WALL' OF CLOUDS. I DID NOT WANT TO ENTER THE CLOUDS 'EVEN IF I WERE IFR' FOR FEAR OF ICING. I THEN PROCEEDED N AND BEGAN TO CLB AS I KNEW FUEL WAS A FACTOR NOW. I CALLED FLT WATCH AGAIN AND ASKED FOR WX AT SPRINGFIELD; MO. FLT WATCH RPTED 2500 SCATTERED AT SPRINGFIELD. I CONTACTED SPRINGFIELD APCH AND PROCEEDED TO SPRINGFIELD BY RADAR VECTORS. UPON REACHING 5500 MSL I LOST MY ENG DUE TO FUEL STARVATION. THE CTLR ASSISTED ME TO AIR PARK S (2K2) WHERE I LANDED WITH NO HARM TO PAX; MYSELF OR THE AIRPLANE. I STAYED THE DAY AND FLEW HOME THE NEXT. I WAS TOLD BY THE CTLR THAT A 'CTLR ASSIST' WOULD BE FILED. I FEEL THE UNFORECAST FOG AT POINT LOOKOUT CAUSED MANY OF MY PROBS THAT DAY. IT IS IMPORTANT NOT TO ENTER THIS TYPE OF SITUATION NO MATTER WHAT THE WX FORECAST. I HAD MY FUEL RESERVE BUT SPENT VALUABLE TIME TRYING TO LOCATE THE ARPT. THIS STRESSFUL SITUATION CAUSED A LOSS OF THE TIME BEING FLOWN; REGS MET BUT STILL HUMAN ERROR.