Finding the Fourth Proportional to 9,414.89, 12,992.11 and 5,165.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.89 : 12,992.11 = 5,165.86 : x
2. Step 2: Convert to fraction form
   9,414.89/12,992.11 = 5,165.86/x
3. Step 3: Cross multiply
   9,414.89x = 12,992.11 × 5,165.86
4. Step 4: Simplify right side
   9,414.89x = 67,115,401.80
5. Step 5: Solve for x
   x = 67,115,401.80/9,414.89
6. Step 6: Final answer
   x = 7,128.64