Finding the Fourth Proportional to 2,463.83, 3,696.34 and 820.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,463.83 : 3,696.34 = 820.39 : x
2. Step 2: Convert to fraction form
   2,463.83/3,696.34 = 820.39/x
3. Step 3: Cross multiply
   2,463.83x = 3,696.34 × 820.39
4. Step 4: Simplify right side
   2,463.83x = 3,032,447.56
5. Step 5: Solve for x
   x = 3,032,447.56/2,463.83
6. Step 6: Final answer
   x = 1,230.78