Finding the Fourth Proportional to 12,414.57, 17,134.77 and 7,638.57

Step by Step Solution

1. Step 1: Write the proportion equation
   12,414.57 : 17,134.77 = 7,638.57 : x
2. Step 2: Convert to fraction form
   12,414.57/17,134.77 = 7,638.57/x
3. Step 3: Cross multiply
   12,414.57x = 17,134.77 × 7,638.57
4. Step 4: Simplify right side
   12,414.57x = 130,885,168.72
5. Step 5: Solve for x
   x = 130,885,168.72/12,414.57
6. Step 6: Final answer
   x = 10,542.87