Finding the Fourth Proportional to 2,055.59, 3,082.67 and 822.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,055.59 : 3,082.67 = 822.68 : x
2. Step 2: Convert to fraction form
   2,055.59/3,082.67 = 822.68/x
3. Step 3: Cross multiply
   2,055.59x = 3,082.67 × 822.68
4. Step 4: Simplify right side
   2,055.59x = 2,536,050.96
5. Step 5: Solve for x
   x = 2,536,050.96/2,055.59
6. Step 6: Final answer
   x = 1,233.73