Finding the Fourth Proportional to 2,466.31, 3,699.57 and 822.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,466.31 : 3,699.57 = 822.91 : x
2. Step 2: Convert to fraction form
   2,466.31/3,699.57 = 822.91/x
3. Step 3: Cross multiply
   2,466.31x = 3,699.57 × 822.91
4. Step 4: Simplify right side
   2,466.31x = 3,044,413.15
5. Step 5: Solve for x
   x = 3,044,413.15/2,466.31
6. Step 6: Final answer
   x = 1,234.40