Finding the Fourth Proportional to 9,632.50, 13,293 and 5,440.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,632.50 : 13,293 = 5,440.78 : x
2. Step 2: Convert to fraction form
   9,632.50/13,293 = 5,440.78/x
3. Step 3: Cross multiply
   9,632.50x = 13,293 × 5,440.78
4. Step 4: Simplify right side
   9,632.50x = 72,324,288.54
5. Step 5: Solve for x
   x = 72,324,288.54/9,632.50
6. Step 6: Final answer
   x = 7,508.36