Finding the Fourth Proportional to 2,055.67, 3,085.78 and 823.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,055.67 : 3,085.78 = 823.96 : x
2. Step 2: Convert to fraction form
   2,055.67/3,085.78 = 823.96/x
3. Step 3: Cross multiply
   2,055.67x = 3,085.78 × 823.96
4. Step 4: Simplify right side
   2,055.67x = 2,542,559.29
5. Step 5: Solve for x
   x = 2,542,559.29/2,055.67
6. Step 6: Final answer
   x = 1,236.85