Finding the Fourth Proportional to 9,782.31, 13,499.76 and 5,306.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.31 : 13,499.76 = 5,306.25 : x
2. Step 2: Convert to fraction form
   9,782.31/13,499.76 = 5,306.25/x
3. Step 3: Cross multiply
   9,782.31x = 13,499.76 × 5,306.25
4. Step 4: Simplify right side
   9,782.31x = 71,633,101.50
5. Step 5: Solve for x
   x = 71,633,101.50/9,782.31
6. Step 6: Final answer
   x = 7,322.72