The diagram shows triangle $$\(A B C\)$$. $$\(X\)$$ is a point on $$\(B C\)$$. $$\(A X=10.6 \mathrm{~cm}, X C=6.4 \mathrm{~cm}\)$$, angle $$\(A B C=58^{\circ}\)$$ and angle $$\(A X B=78^{\circ}\)$$. Calculate $$\(A C\)$$. $$\[ A C=............................................cm \]$$

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