Finding the Fourth Proportional to 9,393.64, 12,960.27 and 5,414.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,393.64 : 12,960.27 = 5,414.20 : x
2. Step 2: Convert to fraction form
   9,393.64/12,960.27 = 5,414.20/x
3. Step 3: Cross multiply
   9,393.64x = 12,960.27 × 5,414.20
4. Step 4: Simplify right side
   9,393.64x = 70,169,461.43
5. Step 5: Solve for x
   x = 70,169,461.43/9,393.64
6. Step 6: Final answer
   x = 7,469.89