Finding the Fourth Proportional to 9,414.09, 12,991.23 and 5,165.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.09 : 12,991.23 = 5,165.10 : x
2. Step 2: Convert to fraction form
   9,414.09/12,991.23 = 5,165.10/x
3. Step 3: Cross multiply
   9,414.09x = 12,991.23 × 5,165.10
4. Step 4: Simplify right side
   9,414.09x = 67,101,002.07
5. Step 5: Solve for x
   x = 67,101,002.07/9,414.09
6. Step 6: Final answer
   x = 7,127.72