Bolt together an A-frame out of 4x4 timber, or better. Cross brace, and leave a 'crotch' at the top, a little higher than the pick point of the machine. Get another 12' 4x4, and strap or chain to top of machine one foot from end. Place A-frame support fairly close to machine, and keep it vertical. Hang off the other end by your arms, one foot from end. Adjust pivot point until machine barely lifts (like a quarter inch) and do the proportional math to determine machine weight based on ratio of horizontal beam lengths (on either side of pivot) and your weight. (Coming in one foot on each end of beam gives you a 10' beam, just for convenience's sake. Not required.)
So, the distance between loads on the beam is 10'. When balanced, the support will divide that into two unequal parts. Measure each distance. Cross-multiply machine distance x your weight, then divide that product by your distance to determine machine weight. Keep your units consistent. Call a fifth-grader if you're uncertain of your maths.
The distance between you and the pivot will likely be about 4 or 5 times the distance from the machine to the pivot.
4x4 should have no problem with a temporary 1/2" lift, safety-wise. Don't use this mechanism to load it. Resist the temptation to make a YouTube video of the event.
You could also add a pressure gauge to your pallet jack, and log pressure when lifting a known weight. Machine weight will be proportional to pressure, when lifted to the same height. (Height matters because the mechanical geometry of a random pallet jack may not result in a linear relationship of load to pressure at random heights.)
If it's a new-ish or popular machine, research the shipping weight online.
Chip