Finding the Fourth Proportional to 9,663.89, 13,338.06 and 5,688.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,663.89 : 13,338.06 = 5,688.41 : x
2. Step 2: Convert to fraction form
   9,663.89/13,338.06 = 5,688.41/x
3. Step 3: Cross multiply
   9,663.89x = 13,338.06 × 5,688.41
4. Step 4: Simplify right side
   9,663.89x = 75,872,353.88
5. Step 5: Solve for x
   x = 75,872,353.88/9,663.89
6. Step 6: Final answer
   x = 7,851.12