Consider an ionic compound, $M{x}_3,$ composed of generic metal $M$ and generic gaseous halogen $x.$

The enthalpy of formation of $M{x}_3$ is $H_f=-989k\frac{J}{m}ol.$

The enthalpy of sublimation of $M$ is $H_{\text{s}\text{u}\text{b}}=129k\frac{J}{m}ol.$

The first, second, and third ionization energies of $M$ are $I{E}_1=647k\frac{J}{m}ol,I{E}_2=1627k\frac{J}{m}ol,$ and $I{E}_3=2569k\frac{J}{m}ol.$

The electron affinity of $x$ is $H_{EA}=-369k\frac{J}{m}ol.($Refer to the hint$).$

The bond energy of $x_2$ is $BE=153k\frac{J}{m}ol.$

Determine the lattice energy of $M{x}_3.$

$H_{\text{l}\text{a}\text{t}\text{t}\text{i}\text{c}\text{e}}=$