Finding the Fourth Proportional to 9,782.52, 13,499.51 and 5,306.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.52 : 13,499.51 = 5,306.12 : x
2. Step 2: Convert to fraction form
   9,782.52/13,499.51 = 5,306.12/x
3. Step 3: Cross multiply
   9,782.52x = 13,499.51 × 5,306.12
4. Step 4: Simplify right side
   9,782.52x = 71,629,925.97
5. Step 5: Solve for x
   x = 71,629,925.97/9,782.52
6. Step 6: Final answer
   x = 7,322.24