Finding the Fourth Proportional to 9,616.50, 13,270.78 and 5,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,616.50 : 13,270.78 = 5,200.50 : x
2. Step 2: Convert to fraction form
   9,616.50/13,270.78 = 5,200.50/x
3. Step 3: Cross multiply
   9,616.50x = 13,270.78 × 5,200.50
4. Step 4: Simplify right side
   9,616.50x = 69,014,691.39
5. Step 5: Solve for x
   x = 69,014,691.39/9,616.50
6. Step 6: Final answer
   x = 7,176.70