Finding the Fourth Proportional to 1,155.50, 1,732.04 and 538.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.50 : 1,732.04 = 538.69 : x
2. Step 2: Convert to fraction form
   1,155.50/1,732.04 = 538.69/x
3. Step 3: Cross multiply
   1,155.50x = 1,732.04 × 538.69
4. Step 4: Simplify right side
   1,155.50x = 933,032.63
5. Step 5: Solve for x
   x = 933,032.63/1,155.50
6. Step 6: Final answer
   x = 807.47