Finding the Fourth Proportional to 12,691.37, 17,497.31 and 10,414.37

Step by Step Solution

1. Step 1: Write the proportion equation
   12,691.37 : 17,497.31 = 10,414.37 : x
2. Step 2: Convert to fraction form
   12,691.37/17,497.31 = 10,414.37/x
3. Step 3: Cross multiply
   12,691.37x = 17,497.31 × 10,414.37
4. Step 4: Simplify right side
   12,691.37x = 182,223,320.79
5. Step 5: Solve for x
   x = 182,223,320.79/12,691.37
6. Step 6: Final answer
   x = 14,358.06