Finding the Fourth Proportional to 2,466.54, 3,697.41 and 822.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,466.54 : 3,697.41 = 822.24 : x
2. Step 2: Convert to fraction form
   2,466.54/3,697.41 = 822.24/x
3. Step 3: Cross multiply
   2,466.54x = 3,697.41 × 822.24
4. Step 4: Simplify right side
   2,466.54x = 3,040,158.40
5. Step 5: Solve for x
   x = 3,040,158.40/2,466.54
6. Step 6: Final answer
   x = 1,232.56