Finding the Fourth Proportional to 12,538.32, 17,302.88 and 7,502.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,538.32 : 17,302.88 = 7,502.75 : x
2. Step 2: Convert to fraction form
   12,538.32/17,302.88 = 7,502.75/x
3. Step 3: Cross multiply
   12,538.32x = 17,302.88 × 7,502.75
4. Step 4: Simplify right side
   12,538.32x = 129,819,058.89
5. Step 5: Solve for x
   x = 129,819,058.89/12,538.32
6. Step 6: Final answer
   x = 10,353.78