Finding the Fourth Proportional to 9,632.50, 13,292.87 and 5,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,632.50 : 13,292.87 = 5,216.50 : x
2. Step 2: Convert to fraction form
   9,632.50/13,292.87 = 5,216.50/x
3. Step 3: Cross multiply
   9,632.50x = 13,292.87 × 5,216.50
4. Step 4: Simplify right side
   9,632.50x = 69,342,230.27
5. Step 5: Solve for x
   x = 69,342,230.27/9,632.50
6. Step 6: Final answer
   x = 7,198.78