Finding the Fourth Proportional to 1,153.98, 1,731.42 and 504.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.98 : 1,731.42 = 504.72 : x
2. Step 2: Convert to fraction form
   1,153.98/1,731.42 = 504.72/x
3. Step 3: Cross multiply
   1,153.98x = 1,731.42 × 504.72
4. Step 4: Simplify right side
   1,153.98x = 873,882.30
5. Step 5: Solve for x
   x = 873,882.30/1,153.98
6. Step 6: Final answer
   x = 757.28