Finding the Fourth Proportional to 9,414.26, 12,991.86 and 5,165.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.26 : 12,991.86 = 5,165.54 : x
2. Step 2: Convert to fraction form
   9,414.26/12,991.86 = 5,165.54/x
3. Step 3: Cross multiply
   9,414.26x = 12,991.86 × 5,165.54
4. Step 4: Simplify right side
   9,414.26x = 67,110,004.98
5. Step 5: Solve for x
   x = 67,110,004.98/9,414.26
6. Step 6: Final answer
   x = 7,128.55