What is the easiest way to start a form (about a quater of the full screen size) such that it is position at the bottom right corner... i.e. the form's bottom right corner touches the bottom right corner of the screen.

You can try this in the form's Init.

It should get you close - taking into account the height of the VFP status bar and the windows task bar:

This.Top = _Screen.Height - Thisform.Height - 2 * SYSMETRIC( 20 )
This.Left = _Screen.Width - Thisform.Width