Finding the Fourth Proportional to 2,055.62, 3,084.92 and 823.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,055.62 : 3,084.92 = 823.38 : x
2. Step 2: Convert to fraction form
   2,055.62/3,084.92 = 823.38/x
3. Step 3: Cross multiply
   2,055.62x = 3,084.92 × 823.38
4. Step 4: Simplify right side
   2,055.62x = 2,540,061.43
5. Step 5: Solve for x
   x = 2,540,061.43/2,055.62
6. Step 6: Final answer
   x = 1,235.67