Finding the Fourth Proportional to 2,566.57, 3,850.24 and 811.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.57 : 3,850.24 = 811.18 : x
2. Step 2: Convert to fraction form
   2,566.57/3,850.24 = 811.18/x
3. Step 3: Cross multiply
   2,566.57x = 3,850.24 × 811.18
4. Step 4: Simplify right side
   2,566.57x = 3,123,225.91
5. Step 5: Solve for x
   x = 3,123,225.91/2,566.57
6. Step 6: Final answer
   x = 1,216.89