The point $(4,1)$  undergoes the following transformations successively:
i) Reflection is the line   $x-y=0$
ii) Shifting through a distance of 2 units along the positive X – axis
iii) Projection on X-axis
The coordinates of the point in its final position are

We have,
The point  $(4,1)$ undergoes the following transformations
(i) Reflection in the line  $x-y=0$
 $\because$  Reflection of point  $(4,1)$   to line  $x-y=0$  is  $(1,4)$
(ii) Shifting through a distance of 2 units along the positive X-axis then  $(1+2,4)\equiv (3,4)$
(iii) Projection of  $(3,4)$ in X-axis is  $(3,0)$
$\therefore$  The new coordinates is  $(3,0)$