Finding the Fourth Proportional to 9,663.57, 13,337.97 and 5,685.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,663.57 : 13,337.97 = 5,685.96 : x
2. Step 2: Convert to fraction form
   9,663.57/13,337.97 = 5,685.96/x
3. Step 3: Cross multiply
   9,663.57x = 13,337.97 × 5,685.96
4. Step 4: Simplify right side
   9,663.57x = 75,839,192.60
5. Step 5: Solve for x
   x = 75,839,192.60/9,663.57
6. Step 6: Final answer
   x = 7,847.95