Finding the Fourth Proportional to 2,464.92, 3,696.15 and 820.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.92 : 3,696.15 = 820.89 : x
2. Step 2: Convert to fraction form
   2,464.92/3,696.15 = 820.89/x
3. Step 3: Cross multiply
   2,464.92x = 3,696.15 × 820.89
4. Step 4: Simplify right side
   2,464.92x = 3,034,132.57
5. Step 5: Solve for x
   x = 3,034,132.57/2,464.92
6. Step 6: Final answer
   x = 1,230.93