Finding the Fourth Proportional to 2,466.52, 3,699.90 and 822.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,466.52 : 3,699.90 = 822.76 : x
2. Step 2: Convert to fraction form
   2,466.52/3,699.90 = 822.76/x
3. Step 3: Cross multiply
   2,466.52x = 3,699.90 × 822.76
4. Step 4: Simplify right side
   2,466.52x = 3,044,129.72
5. Step 5: Solve for x
   x = 3,044,129.72/2,466.52
6. Step 6: Final answer
   x = 1,234.18