Finding the Fourth Proportional to 2,578.29, 3,865.98 and 822.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.29 : 3,865.98 = 822.96 : x
2. Step 2: Convert to fraction form
   2,578.29/3,865.98 = 822.96/x
3. Step 3: Cross multiply
   2,578.29x = 3,865.98 × 822.96
4. Step 4: Simplify right side
   2,578.29x = 3,181,546.90
5. Step 5: Solve for x
   x = 3,181,546.90/2,578.29
6. Step 6: Final answer
   x = 1,233.98