Finding the Fourth Proportional to 2,577.56, 3,866.90 and 823.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.56 : 3,866.90 = 823.10 : x
2. Step 2: Convert to fraction form
   2,577.56/3,866.90 = 823.10/x
3. Step 3: Cross multiply
   2,577.56x = 3,866.90 × 823.10
4. Step 4: Simplify right side
   2,577.56x = 3,182,845.39
5. Step 5: Solve for x
   x = 3,182,845.39/2,577.56
6. Step 6: Final answer
   x = 1,234.83