MathNet 1990 — Part 01 Question 7

$ABCD$ is a convex quadrilateral. $E, F, G, H$ are the midpoints of sides $AB, BC, CD, DA$ respectively. Find the point $P$ such that area $PHAE = \text{area } PEBF = \text{area } PFCG = \text{area } PGDH$.