If you know the X and Y of the final position, then:
1. Select the objects to move, using Table->Select... or one of the select
tools in a Map window.
2. Open the MapBasic window (Options->MapBasic)
3. type the following in the mapbasic window:
Set coordsys table selection
Update selection set obj=CreatePoint (<finalx>, <finaly>)
where you type the actual X coordinate of the final position instead of
<finalx>, and the actual Y coordinate instead of <finaly>.
You appear to also have X and Y columns to update, so you'd also type:
Update selection set <xcolumn>=<finalx>, <ycolumn>=<finaly>
HTH
________________________________
Spencer