Finding the Fourth Proportional to 9,664.09, 13,333.41 and 5,414.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664.09 : 13,333.41 = 5,414.57 : x
2. Step 2: Convert to fraction form
   9,664.09/13,333.41 = 5,414.57/x
3. Step 3: Cross multiply
   9,664.09x = 13,333.41 × 5,414.57
4. Step 4: Simplify right side
   9,664.09x = 72,194,681.78
5. Step 5: Solve for x
   x = 72,194,681.78/9,664.09
6. Step 6: Final answer
   x = 7,470.41