AN ACR PILOT REPORTS HOLDING AND VECTORING PRIOR TO APCH AND MISSED APCH. A FUEL EMER WAS DECLARED AND FLT DIVERTED BECAUSE OF LOW FUEL.

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ON THE EXECUTED MISSED APCH TO RWY 15R OUR FUEL LOAD WAS NOW 5800 LBS. ZZZ HAD ALREADY STARTED VECTORING NUMEROUS OTHER ACFT FOR ILS CAT II RWY 04R AS VISIBILITY AND RVR HAD RAPIDLY DETERIORATED DUE TO FOG AT THE ARPT. WE WERE THEN VECTORED IN SEQUENCE FOR APCH TO RWY 04R WHICH WAS REPORTED RVR 1200-700-800. WE THEN OBSERVED ONCE AGAIN NUMEROUS ACFT ON TCAS BEING VECTORED. I THEN DETERMINED WE DID NOT HAVE ADEQUATE FUEL TO REACH OUR ALTERNATE; HOWEVER WE DID HAVE ADEQUATE FUEL TO ATTEMPT ONE APCH FOR ILS CAT II RWY 04R AND BE ABLE TO SAFELY FLY TO ZZZ1 WHICH WAS CLOSEST SUITABLE ARPT FOR THE DIRECTION WE WERE FLYING THE APCH. SAID ARPT WAS RPTING VFR. THE FLT OPERATED WAS DELAYED IN HOLDING FOR SOME TIME. WE HAD DETERMINED OUR FUEL FOR DIVERT AT 7200 LBS. WE WERE RELEASED FROM HOLD TO PROCEED TO ZZZ JUST BEFORE REACHING OUR DIVERT FUEL. ZZZ HAD SWITCHED FROM CAT II RWY 04R TO RWY 15R WITH ZZZ APCH CTLR RPTING RVR RWY 15R AT 3000 FT AND SEEMED TO BE IMPROVING. WE WERE VECTORED IN SEQUENCE BEHIND NUMEROUS ACFT APPEARING ON TCAS. WE STILL HAD ADEQUATE FUEL TO FLY APCH TO RWY 15R WITH GIVEN WX. WE REACHED THE DECISION ALTITUDE UNABLE TO IDENTIFY THE APCHING LIGHTING SYSTEM OR THE RWY AND EXECUTED A MISSED APCH. THE ACFT IN FRONT OF US DID THE SAME. WE THEN DECLARED EMER FUEL STATUS WITH 5800 LBS OF FUEL AS WE WERE BEING VECTORED JUST EAST-SOUTHEAST OF ZZZ AFTER EXECUTING MISSED APCH TO RWY 15R. I FELT IT NECESSARY TO DECLARE EMER FUEL WITH SAID FUEL ONBOARD; NUMBER OF ACFT AWAITING APCH TO ILS CAT II RWY 04R THAT WERE IN FRONT OF US; INADEQUATE FUEL TO REACH ALTERNATE ARPT DISPATCHED; RAPIDLY DETERIORATING RVR TO RWY 04R; AND POTENTIAL TO LAND AT ZZZ1 WITH ONLY RESERVE FUEL.