Finding the Fourth Proportional to 9,782.58, 13,499.91 and 5,306.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.58 : 13,499.91 = 5,306.43 : x
2. Step 2: Convert to fraction form
   9,782.58/13,499.91 = 5,306.43/x
3. Step 3: Cross multiply
   9,782.58x = 13,499.91 × 5,306.43
4. Step 4: Simplify right side
   9,782.58x = 71,636,327.42
5. Step 5: Solve for x
   x = 71,636,327.42/9,782.58
6. Step 6: Final answer
   x = 7,322.85