If $${{\mathtt{a}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{b}}}^{{\mathtt{3}}} = {{\mathtt{c}}}^{{\mathtt{4}}}$$, then what does x equal in $${\mathtt{2.347}}{\mathtt{\,\small\textbf+\,}}\left({\frac{{\mathtt{x}}}{{\mathtt{8.253}}}}\right) = {\mathtt{24}}$$