As shown in the figure. in an experiment to determine Young’s modulus of a wire, the extension-load curve is plotted. The curve is a straight line passing through the origin and makes an angle of  45° with the load axis. The length of wire is 62.8 cm and its diameter is $4 \mathrm{mm}$. The Young’s modulus is found to be $\mathrm{x}\times {10}^4\mathrm{\hspace{0.17em}}{\mathrm{Nm}}^{-2}$ . The value of ‘$\mathrm{x}$’ is .....