$(6$ pts$.)$ As shown in the figure below, Section $6$ has dimensions on the west, north, east, and south sides as $80,78,81,$ and $79$ chains, respectively. If the coordinates of the found corners are as given, determine the coordinates of the $E^{\frac{1}{4}},S^{\frac{1}{4}},W^{\frac{1}{4}}$ and $N^{\frac{1}{4}}$ of the section.

$\backslash$table$[[$Pt$.,$Northing,Easting$],[$A$,7,048\mathrm{.}50,9,420\mathrm{.}60$