Finding the Fourth Proportional to 2,566.81, 3,850.89 and 811.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.81 : 3,850.89 = 811.84 : x
2. Step 2: Convert to fraction form
   2,566.81/3,850.89 = 811.84/x
3. Step 3: Cross multiply
   2,566.81x = 3,850.89 × 811.84
4. Step 4: Simplify right side
   2,566.81x = 3,126,314.42
5. Step 5: Solve for x
   x = 3,126,314.42/2,566.81
6. Step 6: Final answer
   x = 1,217.98