Senior Kangaroo 2024 Q19

A regular hexagon $PQRSTU$ is shown. The midpoint of $UP$ is $M$. Point $I$ is the intersection between line segments $RM$ and $QT$, and point $J$ is the intersection between line segments $SM$ and $QT$. The area of triangle $RMS$ is $920$. What is the area of triangle $QMI$?