Finding the Fourth Proportional to 9,782.30, 13,499.57 and 5,306.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.30 : 13,499.57 = 5,306.05 : x
2. Step 2: Convert to fraction form
   9,782.30/13,499.57 = 5,306.05/x
3. Step 3: Cross multiply
   9,782.30x = 13,499.57 × 5,306.05
4. Step 4: Simplify right side
   9,782.30x = 71,629,325.90
5. Step 5: Solve for x
   x = 71,629,325.90/9,782.30
6. Step 6: Final answer
   x = 7,322.34