Finding the Fourth Proportional to 9,414.33, 12,991.34 and 5,165.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.33 : 12,991.34 = 5,165.30 : x
2. Step 2: Convert to fraction form
   9,414.33/12,991.34 = 5,165.30/x
3. Step 3: Cross multiply
   9,414.33x = 12,991.34 × 5,165.30
4. Step 4: Simplify right side
   9,414.33x = 67,104,077.72
5. Step 5: Solve for x
   x = 67,104,077.72/9,414.33
6. Step 6: Final answer
   x = 7,127.87