If Rs. 782 be divided into three parts, proportional to $$\frac{1}{2}$$ : $$\frac{2}{3}$$ : $$\frac{3}{4}$$ then the first part is:

$$\eqalign{ & \left( {\frac{1}{2}:\frac{2}{3}:\frac{3}{4}} \right) \times 12 \cr & \Rightarrow 6:8:9 \cr & \therefore {1^{{\text{st}}}}{\text{part's}}\,{\text{share}} \cr & = {\text{Rs}}{\text{.}}\,\left( {\frac{6}{{23}} \times 782} \right) \cr & = {\text{Rs}}{\text{.}}\,6 \times 34 \cr & = {\text{Rs}}{\text{.}}\,204 \cr} $$