Finding the Fourth Proportional to 10,658.16, 14,712.27 and 9,160.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,658.16 : 14,712.27 = 9,160.05 : x
2. Step 2: Convert to fraction form
   10,658.16/14,712.27 = 9,160.05/x
3. Step 3: Cross multiply
   10,658.16x = 14,712.27 × 9,160.05
4. Step 4: Simplify right side
   10,658.16x = 134,765,128.81
5. Step 5: Solve for x
   x = 134,765,128.81/10,658.16
6. Step 6: Final answer
   x = 12,644.31