Finding the Fourth Proportional to 9,616.25, 13,270.43 and 5,200.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,616.25 : 13,270.43 = 5,200.25 : x
2. Step 2: Convert to fraction form
   9,616.25/13,270.43 = 5,200.25/x
3. Step 3: Cross multiply
   9,616.25x = 13,270.43 × 5,200.25
4. Step 4: Simplify right side
   9,616.25x = 69,009,553.61
5. Step 5: Solve for x
   x = 69,009,553.61/9,616.25
6. Step 6: Final answer
   x = 7,176.35