Finding the Fourth Proportional to 9,662.38, 13,329.21 and 5,680.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662.38 : 13,329.21 = 5,680.96 : x
2. Step 2: Convert to fraction form
   9,662.38/13,329.21 = 5,680.96/x
3. Step 3: Cross multiply
   9,662.38x = 13,329.21 × 5,680.96
4. Step 4: Simplify right side
   9,662.38x = 75,722,708.84
5. Step 5: Solve for x
   x = 75,722,708.84/9,662.38
6. Step 6: Final answer
   x = 7,836.86