Finding the Fourth Proportional to 1,191.10, 1,785.57 and 1,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.10 : 1,785.57 = 1,061.50 : x
2. Step 2: Convert to fraction form
   1,191.10/1,785.57 = 1,061.50/x
3. Step 3: Cross multiply
   1,191.10x = 1,785.57 × 1,061.50
4. Step 4: Simplify right side
   1,191.10x = 1,895,382.56
5. Step 5: Solve for x
   x = 1,895,382.56/1,191.10
6. Step 6: Final answer
   x = 1,591.29