Finding the Fourth Proportional to 9,662.82, 13,334.91 and 5,414.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662.82 : 13,334.91 = 5,414.20 : x
2. Step 2: Convert to fraction form
   9,662.82/13,334.91 = 5,414.20/x
3. Step 3: Cross multiply
   9,662.82x = 13,334.91 × 5,414.20
4. Step 4: Simplify right side
   9,662.82x = 72,197,869.72
5. Step 5: Solve for x
   x = 72,197,869.72/9,662.82
6. Step 6: Final answer
   x = 7,471.72