KöMaL 2017 B4862

$M$, $N$, $P$, $Q$, and $R$, respectively, are the midpoints of the sides $AB$, $BC$, $CD$, $DE$ and $EA$ of a convex pentagon $ABCDE$. Show that if the line segments $AP$, $BQ$, $CR$ and $DM$ are concurrent then the common point also lies on line segment $EN$.