Finding the Fourth Proportional to 12,538.47, 17,302.54 and 7,499.77

Step by Step Solution

1. Step 1: Write the proportion equation
   12,538.47 : 17,302.54 = 7,499.77 : x
2. Step 2: Convert to fraction form
   12,538.47/17,302.54 = 7,499.77/x
3. Step 3: Cross multiply
   12,538.47x = 17,302.54 × 7,499.77
4. Step 4: Simplify right side
   12,538.47x = 129,765,070.42
5. Step 5: Solve for x
   x = 129,765,070.42/12,538.47
6. Step 6: Final answer
   x = 10,349.35