BE10 PLT DIVERTS AND MAKES A SINGLE ENG LNDG DUE TO FUEL EXHAUSTION.

Narrative

I LEFT FUEL ORDER WITH FBO FOR 'TOP TIPS (MAINS) AND 10 GALS IN EACH AUX TANK.' THE FBO INFORMED ME AT THAT TIME; THAT THE ACFT WAS FUELED AND READY TO GO. I ARRIVED AT THE ARPT APPROX 30 MINS BEFORE SCHEDULED DEP TIME. I LOADED MY BAGGAGE ON THE ACFT; THEN WENT TO THE COCKPIT; TURNED ON THE BATTERY SWITCH; CHKED THE BATTERY VOLTAGE AND FUEL QUANTITY. I THEN MOVED MY L HAND TO THE FUEL PANEL AND PULLED DOWN ON THE SPRING LOADED 'FUEL QUANTITY' MAINS TO THE AUX QUANTITY. THERE WAS AN INDICATION OF FUEL IN EACH AUX SO I RELEASED THE SWITCH AND AS IT RETURNED TO MAINS I TURNED THE BATTERY SWITCH OFF AND PROCEEDED TO COMPLETE THE REMAINDER OF PREFLT. TKOF WAS NORMAL; BOOST PUMPS 'ON' FOR TKOF AFTER GEAR RETRACT AND CLB ESTABLISHED. BOOST PUMPS (AUX/MAIN) WERE LEFT ON UNTIL ANY TANKS WERE EMPTY (AMBER EMPTY LIGHT). THEN AUX AND MAIN PUMPS WERE TURNED 'OFF.' THIS WAS PERFORMED AT ABOUT TIME I LEVELED AT FL180. WE HAD A SMOOTH FLT UNTIL WE REACHED SPRINGFIELD; MO; AREA. IN ALL THIS TIME I DON'T RECALL CHKING FUEL QUANTITY. (I HAD ORDERED 388 GALS IN MAINS AND 20 GALS FOR AUX.) A TOTAL OF 408 GALS EQUALS APPROX 4 HRS 45 MINS FLT AND DUATS FLT PLANNER HAD INDICATED A 3 HRS 18 MINS FLT (NO WIND CONDITIONS). AT APPROX 30 MI OUT I SUDDENLY NOTICED THE FUEL INDICATION OF ALMOST ZERO. I WAS SO STUNNED I FIRST THOUGHT IT WAS AN INDICATION BUT FOUND NO CIRCUIT BREAKER 'POPPED.' AT ABOUT THIS TIME I NOTICED A CHANGE IN ENG SOUND. THE R ENG THEN BEGAN TO SURGE. I IMMEDIATELY TOLD THE PAX TO VACATE THE COCKPIT AND GO TO THE CABIN AND EVERYONE BUCKLE UP. I PROCEEDED TO CHK AND THEN IT BECAME EVIDENT I HAD TO SHUT DOWN AND FEATHER THE R ENG. I INFORMED CTR I NEEDED A SUITABLE ARPT NOW AS I WASN'T SURE WHAT WAS HAPPENING. I WAS GIVEN ZZZ. I PLANNED MY APCH AS IF I COULD LOSE THE L ENG AT ANY TIME. IT OPERATED TO A NORMAL (1 ENG) LNDG; TAXIED UNDER PWR TO THE RAMP WHERE I SHUT IT DOWN. I CANNOT BEGIN TO UNDERSTAND HOW THIS CHAIN OF EVENTS BEGAN. I HAVE NEVER MISSED A FUEL LOAD CHK. I CALLED THE FBO AND INQUIRED IF HE KNEW HOW MUCH FUEL WAS ADDED TO THE ACFT. THE WEEKEND PERSON HAD ONLY PUT A TOTAL OF 40 GALS ON THE ACFT.