Finding the Fourth Proportional to 2,464.73, 3,696.30 and 820.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.73 : 3,696.30 = 820.84 : x
2. Step 2: Convert to fraction form
   2,464.73/3,696.30 = 820.84/x
3. Step 3: Cross multiply
   2,464.73x = 3,696.30 × 820.84
4. Step 4: Simplify right side
   2,464.73x = 3,034,061.65
5. Step 5: Solve for x
   x = 3,034,061.65/2,464.73
6. Step 6: Final answer
   x = 1,230.99