Finding the Fourth Proportional to 2,466.18, 3,697.91 and 821.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,466.18 : 3,697.91 = 821.83 : x
2. Step 2: Convert to fraction form
   2,466.18/3,697.91 = 821.83/x
3. Step 3: Cross multiply
   2,466.18x = 3,697.91 × 821.83
4. Step 4: Simplify right side
   2,466.18x = 3,039,049.27
5. Step 5: Solve for x
   x = 3,039,049.27/2,466.18
6. Step 6: Final answer
   x = 1,232.29