Each monitor is different and its placement will be different than mine.  I used a 19" MAG monitor that was placed without its base.  I'll briefly walk you through how I calculated my placement.

First, you know the height of the monitor area already.  It is 22-1/2".  I measured top-to-bottom the viewable portion of my monitor.  This was 10-7/8".  I wanted the monitor centered in the cabinet area so I subtracted 10-7/8" (the monitor screen) from 18-7/8" (the cabinet area) and got 8".  I divided that by 2 (because it was to be centered) and I got 4". 

I now knew that I wanted the viewable portion of the monitor to be 4" from both the top and bottom of the cabinet area.  This was an important number.

There is probably several more elegant ways of determining where the supports should be placed but I used the brute force method.

Now I also needed the angle of the screen.  To get that, I first laid the plywood cabinet side on the ground.  Then I  physically took the monitor and laid it on its side, matching the angle of the cabinet area.  I moved it back 5/8" from the edge, keeping it's face parallel to the cabinet edge.  Then I measured down 4" from the top of the monitor area and lined the upper viewable screen edge with this.  The distance from the lower screen edge to the bottom of the cabinet monitor area should also be this same figure now.

Whew!  Lose you yet?  Where the monitor sits should be exactly the position you want it in.  You can either now duct tape it in place or do what I did.  I took a nice sheet of scrap 3/4" plywood and placed it against the underside (bottom) of the monitor, being sure to press against all four of it's feet.  When you have done that, draw a line along the underside of this board.  You now have a line which will serve as the upper edge of the 2x4 monitor support you will place shortly.

Now you can resume placing the monitor shelf.

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