Finding the Fourth Proportional to 9,762.80, 13,472.50 and 5,286.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,762.80 : 13,472.50 = 5,286.52 : x
2. Step 2: Convert to fraction form
   9,762.80/13,472.50 = 5,286.52/x
3. Step 3: Cross multiply
   9,762.80x = 13,472.50 × 5,286.52
4. Step 4: Simplify right side
   9,762.80x = 71,222,546.90
5. Step 5: Solve for x
   x = 71,222,546.90/9,762.80
6. Step 6: Final answer
   x = 7,295.30