the Li-Ion battery pack you make up should contain TWO cells in series so as to give a combined output not exceeding 9.6 volts (the maximum of 4 lead-acid cells at 2.4v each). further, the battery pack should be connected to the meter (across C27 is fine) via a DIODE. this diode is to prevent current flowing into the Li-Ion cells if the mains lead is plugged in.
if you feed in a higher DC voltage, when run from 90v AC the battery may continue to be drained even though AC power is present.
the fluke 45 service manual contains the schematic of the battery module PCB on page 9-13 (pg 177 in the .pdf i have here). as bdunham7 has pointed out, the design is extremely convoluted! if you do wish to charge your Li-Ion cells internally, you can pick off volts from pin 4 of SW1 (page 9-7) that is only live when the power switch is in the OFF position. but beware, the maximum power available for charging is rather limited due to the mains transformer being necessarily derated to allow for the wide 90-264v AC operating range.
all connection points can alternatively be picked up on J6. this 10-pin connector is rather obscure, but you can unsolder it and replace it with 2 rows (5 pins each) of 0.1" pin headers (just had a thought - consider using one row of male and one row of female so that you can't accidentally reverse the plug).
i have a fluke 45 myself, and have variously considered building a battery pack for it, so would be interested in seeing your progress.
cheers,
rob :-)