Finding the Fourth Proportional to 9,414.41, 12,992.02 and 5,165.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.41 : 12,992.02 = 5,165.89 : x
2. Step 2: Convert to fraction form
   9,414.41/12,992.02 = 5,165.89/x
3. Step 3: Cross multiply
   9,414.41x = 12,992.02 × 5,165.89
4. Step 4: Simplify right side
   9,414.41x = 67,115,300.80
5. Step 5: Solve for x
   x = 67,115,300.80/9,414.41
6. Step 6: Final answer
   x = 7,129.00