Finding the Fourth Proportional to 2,055.50, 3,083.78 and 823.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,055.50 : 3,083.78 = 823.75 : x
2. Step 2: Convert to fraction form
   2,055.50/3,083.78 = 823.75/x
3. Step 3: Cross multiply
   2,055.50x = 3,083.78 × 823.75
4. Step 4: Simplify right side
   2,055.50x = 2,540,263.78
5. Step 5: Solve for x
   x = 2,540,263.78/2,055.50
6. Step 6: Final answer
   x = 1,235.84