1. Calculate $8.369 \times 0.785$. $$8.369 \times 0.785 = 6.563665$$ 2. Calculate $(26.62)^2 \times (87.19)^3$. First, square 26.62: $$(26.62)^2 = 708.2244$$ Next, cube 87.19: $$(87.19)^3 = 662,927.857959$$ Multiply the two results: $$708.2244 \times 662,927.857959 \approx 469,438,000$$ 3. Calculate $\frac{\sqrt{69.53}}{2391 \times 30.72 / 23.34}$. First, find $\sqrt{69.53}$: $$\sqrt{69.53} \approx 8.338$$ Calculate the denominator: $$2391 \times 30.72 = 73,441.92$$ Divide by 23.34: $$\frac{73,441.92}{23.34} \approx 3,147.5$$ Now divide numerator by denominator: $$\frac{8.338}{3,147.5} \approx 0.00265$$ 4. Calculate $\frac{57.26 \times \sqrt[3]{0.382} \times \sqrt{431.5} \times (1.2)^2}{\sqrt[3]{36.98}}$. Calculate cube root of 0.382: $$\sqrt[3]{0.382} \approx 0.732$$ Calculate square root of 431.5: $$\sqrt{431.5} \approx 20.77$$ Calculate $(1.2)^2$: $$(1.2)^2 = 1.44$$ Calculate cube root of 36.98: $$\sqrt[3]{36.98} \approx 3.34$$ Calculate numerator: $$57.26 \times 0.732 \times 20.77 \times 1.44 \approx 1,261.5$$ Divide numerator by denominator: $$\frac{1,261.5}{3.34} \approx 377.7$$ Final answers: 1. $6.5637$ 2. $4.69 \times 10^{8}$ 3. $0.00265$ 4. $377.7$