Finding the Fourth Proportional to 12,538.18, 17,298.10 and 7,502.54

Step by Step Solution

1. Step 1: Write the proportion equation
   12,538.18 : 17,298.10 = 7,502.54 : x
2. Step 2: Convert to fraction form
   12,538.18/17,298.10 = 7,502.54/x
3. Step 3: Cross multiply
   12,538.18x = 17,298.10 × 7,502.54
4. Step 4: Simplify right side
   12,538.18x = 129,779,687.17
5. Step 5: Solve for x
   x = 129,779,687.17/12,538.18
6. Step 6: Final answer
   x = 10,350.76