Finding the Fourth Proportional to 2,057.77, 3,084.78 and 809.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.77 : 3,084.78 = 809.22 : x
2. Step 2: Convert to fraction form
   2,057.77/3,084.78 = 809.22/x
3. Step 3: Cross multiply
   2,057.77x = 3,084.78 × 809.22
4. Step 4: Simplify right side
   2,057.77x = 2,496,280.27
5. Step 5: Solve for x
   x = 2,496,280.27/2,057.77
6. Step 6: Final answer
   x = 1,213.10