1. The problem is to evaluate the expression $$9.56 \times \sin 128^\circ \div \sin 19^\circ$$. 2. We use the formula for sine values and division: $$\text{Expression} = \frac{9.56 \times \sin 128^\circ}{\sin 19^\circ}$$ 3. Calculate the sine values: $$\sin 128^\circ \approx 0.7818$$ $$\sin 19^\circ \approx 0.3256$$ 4. Substitute these values into the expression: $$\frac{9.56 \times 0.7818}{0.3256}$$ 5. Multiply numerator: $$9.56 \times 0.7818 = 7.4755$$ 6. Now divide: $$\frac{7.4755}{0.3256}$$ 7. Simplify the division: $$7.4755 \div 0.3256 \approx 22.95$$ 8. Therefore, the value of the expression is approximately: $$\boxed{22.95}$$