Finding the Fourth Proportional to 9,661.40, 13,333.98 and 5,414.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,661.40 : 13,333.98 = 5,414.10 : x
2. Step 2: Convert to fraction form
   9,661.40/13,333.98 = 5,414.10/x
3. Step 3: Cross multiply
   9,661.40x = 13,333.98 × 5,414.10
4. Step 4: Simplify right side
   9,661.40x = 72,191,501.12
5. Step 5: Solve for x
   x = 72,191,501.12/9,661.40
6. Step 6: Final answer
   x = 7,472.16