Finding the Fourth Proportional to 9,782.98, 13,500.37 and 5,306.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.98 : 13,500.37 = 5,306.61 : x
2. Step 2: Convert to fraction form
   9,782.98/13,500.37 = 5,306.61/x
3. Step 3: Cross multiply
   9,782.98x = 13,500.37 × 5,306.61
4. Step 4: Simplify right side
   9,782.98x = 71,641,255.71
5. Step 5: Solve for x
   x = 71,641,255.71/9,782.98
6. Step 6: Final answer
   x = 7,323.05