Finding the Fourth Proportional to 2,577.98, 3,866.78 and 822.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.98 : 3,866.78 = 822.92 : x
2. Step 2: Convert to fraction form
   2,577.98/3,866.78 = 822.92/x
3. Step 3: Cross multiply
   2,577.98x = 3,866.78 × 822.92
4. Step 4: Simplify right side
   2,577.98x = 3,182,033.32
5. Step 5: Solve for x
   x = 3,182,033.32/2,577.98
6. Step 6: Final answer
   x = 1,234.31