Finding the Fourth Proportional to 9,782.51, 13,499.84 and 5,306.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.51 : 13,499.84 = 5,306.25 : x
2. Step 2: Convert to fraction form
   9,782.51/13,499.84 = 5,306.25/x
3. Step 3: Cross multiply
   9,782.51x = 13,499.84 × 5,306.25
4. Step 4: Simplify right side
   9,782.51x = 71,633,499.47
5. Step 5: Solve for x
   x = 71,633,499.47/9,782.51
6. Step 6: Final answer
   x = 7,322.61