Finding the Fourth Proportional to 2,658.56, 3,986.33 and 809.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,658.56 : 3,986.33 = 809.15 : x
2. Step 2: Convert to fraction form
   2,658.56/3,986.33 = 809.15/x
3. Step 3: Cross multiply
   2,658.56x = 3,986.33 × 809.15
4. Step 4: Simplify right side
   2,658.56x = 3,225,514.94
5. Step 5: Solve for x
   x = 3,225,514.94/2,658.56
6. Step 6: Final answer
   x = 1,213.26