Finding the Fourth Proportional to 2,055.69, 3,082.86 and 822.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,055.69 : 3,082.86 = 822.78 : x
2. Step 2: Convert to fraction form
   2,055.69/3,082.86 = 822.78/x
3. Step 3: Cross multiply
   2,055.69x = 3,082.86 × 822.78
4. Step 4: Simplify right side
   2,055.69x = 2,536,515.55
5. Step 5: Solve for x
   x = 2,536,515.55/2,055.69
6. Step 6: Final answer
   x = 1,233.90