That's an interesting challenge Al. I don't know that this will give you what you want but its worth a try.
Create a display panel with the overall dimensions of all four doors. Layout the three-point arc on it and save the geometry.
Now place a vertical line on the geometry located at the edge of the first door's width. Trim the portion of the line that extends past that "door" and save the geometry as something like "Door 1."
Clear the geometry and load the original geometry back into the Part Editor. Now place two vertical lines located at the left and right edges of the second door's width. Trim the lines outside those vertical lines and save the geometry.
Clear the geometry and reload the original again. This time place the two vertical lines where the third door is located and trim.
Repeat for the fourth door (one vertical line this time, just like the first door).
Exit the Part Editor and delete the display panel. Load the first door into the Part Editor then load the geometry you saved earlier. Make your cuts and return to the Cabinet Editor. Bring the second door into the Part Editor and load the geometry for it. Make your cuts and return to the Cabinet Editor.
Repeat for the third and fourth doors and you should have a smooth curve across all four doors.
