Finding the Fourth Proportional to 2,577.31, 3,866.55 and 822.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.31 : 3,866.55 = 822.42 : x
2. Step 2: Convert to fraction form
   2,577.31/3,866.55 = 822.42/x
3. Step 3: Cross multiply
   2,577.31x = 3,866.55 × 822.42
4. Step 4: Simplify right side
   2,577.31x = 3,179,915.93
5. Step 5: Solve for x
   x = 3,179,915.93/2,577.31
6. Step 6: Final answer
   x = 1,233.81