A structural designer is experimenting with nontraditional cross$-$sections for beams. On the section shown, the triangular flanges have a width, $b=2\mathrm{.}72$ in$.$ and height, $h=12$ in$.$ The top flange has a width, $w_f=9\mathrm{.}7in.$ and a thickness, $t_f=1\mathrm{.}36$ in$.$ What is the second moment of area around the centroidal $x$ axis, in in ${?}^4?$