Method of Sections: Top Chord Force in a Pratt Truss

A simply-supported Pratt truss has bottom joints A-B-C-D ($3\,\mathrm{m}$ spacing) and top joints E ($3,4$) and F ($6,4$) in meters. A $10\,\mathrm{kN}$ load acts at F. Reactions: $A_y=3.33\,\mathrm{kN}$, $D_y=6.67\,\mathrm{kN}$. A section cut passes through EF, FC, and BC. Analyzing the right portion, find $F_{EF}$.