Finding the Fourth Proportional to 9,663.48, 13,338.23 and 5,685.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,663.48 : 13,338.23 = 5,685.88 : x
2. Step 2: Convert to fraction form
   9,663.48/13,338.23 = 5,685.88/x
3. Step 3: Cross multiply
   9,663.48x = 13,338.23 × 5,685.88
4. Step 4: Simplify right side
   9,663.48x = 75,839,508.50
5. Step 5: Solve for x
   x = 75,839,508.50/9,663.48
6. Step 6: Final answer
   x = 7,848.05