Finding the Fourth Proportional to 9,414.05, 12,991.52 and 5,165.03

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.05 : 12,991.52 = 5,165.03 : x
2. Step 2: Convert to fraction form
   9,414.05/12,991.52 = 5,165.03/x
3. Step 3: Cross multiply
   9,414.05x = 12,991.52 × 5,165.03
4. Step 4: Simplify right side
   9,414.05x = 67,101,648.12
5. Step 5: Solve for x
   x = 67,101,648.12/9,414.05
6. Step 6: Final answer
   x = 7,127.82