Finding the Fourth Proportional to 9,393.12, 12,962.64 and 5,414.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,393.12 : 12,962.64 = 5,414.16 : x
2. Step 2: Convert to fraction form
   9,393.12/12,962.64 = 5,414.16/x
3. Step 3: Cross multiply
   9,393.12x = 12,962.64 × 5,414.16
4. Step 4: Simplify right side
   9,393.12x = 70,181,806.98
5. Step 5: Solve for x
   x = 70,181,806.98/9,393.12
6. Step 6: Final answer
   x = 7,471.62