You can dynamically balance a bow quite well with the bow set solid and level by whatever means, then place the hook on the string where the center of your string hand fulcrum would be. For me, it's just below the middle of my middle finger.
That precise spot can be found with a few measurements taken from the edge of the bow cradle/handle/shelf location to locate the nock on the string(I set my arrow 1/8" above perpendicular to the shelf), then from there measure the thickness of the arrow nock, half the width of your middle finger, or whatever your deal is. Take your time and make sure this is all as accurate as possible. Then at that spot, your actual string fulcrum, draw a vertical plumb line on the wall under the tree to articulate perfect fulcrum travel straight down the wall.
If a bow's limbs are balanced relative to your hold on the string, the hook will follow the line down the wall exactly. If one limb is acting stronger than the other, relative to your hold, the hook will drift toward the stronger limb. It's easy to see just a tiny imbalance. Weaken it until the hook follows the line. When the hook follows the line to full draw, you're done. Balanced bow. You'll love how it shoots.
If you want to find exactly where the bow hand fulcrum is or attempt to move it one way or the other, you can set the bow up to pivot at the handle. I have this capability, and like to play with it, but honestly it's not necessary. The above method works great and makes for a fine shooting bow every time.
I've never tillered a bow by drawing from the center of the handle or center of the bow because it never made sense to me to tiller the bow while drawing the string from one spot, only to shoot it while drawing it from somewhere else.