Finding the Fourth Proportional to 9,782.86, 13,500.24 and 5,306.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.86 : 13,500.24 = 5,306.71 : x
2. Step 2: Convert to fraction form
   9,782.86/13,500.24 = 5,306.71/x
3. Step 3: Cross multiply
   9,782.86x = 13,500.24 × 5,306.71
4. Step 4: Simplify right side
   9,782.86x = 71,641,858.61
5. Step 5: Solve for x
   x = 71,641,858.61/9,782.86
6. Step 6: Final answer
   x = 7,323.20