Finding the Fourth Proportional to 9,782.50, 13,499.84 and 5,306.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.50 : 13,499.84 = 5,306.24 : x
2. Step 2: Convert to fraction form
   9,782.50/13,499.84 = 5,306.24/x
3. Step 3: Cross multiply
   9,782.50x = 13,499.84 × 5,306.24
4. Step 4: Simplify right side
   9,782.50x = 71,633,391.00
5. Step 5: Solve for x
   x = 71,633,391.00/9,782.50
6. Step 6: Final answer
   x = 7,322.61