Finding the Fourth Proportional to 9,655.50, 13,324.59 and 5,463.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,655.50 : 13,324.59 = 5,463.75 : x
2. Step 2: Convert to fraction form
   9,655.50/13,324.59 = 5,463.75/x
3. Step 3: Cross multiply
   9,655.50x = 13,324.59 × 5,463.75
4. Step 4: Simplify right side
   9,655.50x = 72,802,228.61
5. Step 5: Solve for x
   x = 72,802,228.61/9,655.50
6. Step 6: Final answer
   x = 7,539.98