Finding the Fourth Proportional to 1,155.29, 1,732.61 and 538.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.29 : 1,732.61 = 538.38 : x
2. Step 2: Convert to fraction form
   1,155.29/1,732.61 = 538.38/x
3. Step 3: Cross multiply
   1,155.29x = 1,732.61 × 538.38
4. Step 4: Simplify right side
   1,155.29x = 932,799.88
5. Step 5: Solve for x
   x = 932,799.88/1,155.29
6. Step 6: Final answer
   x = 807.42