Finding the Fourth Proportional to 9,414.26, 12,991.70 and 5,165.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.26 : 12,991.70 = 5,165.69 : x
2. Step 2: Convert to fraction form
   9,414.26/12,991.70 = 5,165.69/x
3. Step 3: Cross multiply
   9,414.26x = 12,991.70 × 5,165.69
4. Step 4: Simplify right side
   9,414.26x = 67,111,013.67
5. Step 5: Solve for x
   x = 67,111,013.67/9,414.26
6. Step 6: Final answer
   x = 7,128.65