Finding the Fourth Proportional to 1,155.52, 1,732.32 and 807.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.52 : 1,732.32 = 807.86 : x
2. Step 2: Convert to fraction form
   1,155.52/1,732.32 = 807.86/x
3. Step 3: Cross multiply
   1,155.52x = 1,732.32 × 807.86
4. Step 4: Simplify right side
   1,155.52x = 1,399,472.04
5. Step 5: Solve for x
   x = 1,399,472.04/1,155.52
6. Step 6: Final answer
   x = 1,211.12