Problem #WSP-5602

Problem

Let \(ABCD\) be a quadrilateral with the point \(E\) of intersection of diagonals. Consider the triangles \(ABE\), \(BCE\), \(CDE\), \(ADE\) and their correspondent points of intersection of medians \(K,J,M,L\).

Prove that \(KJML\) is a parallelogram.