Finding the Fourth Proportional to 2,055.78, 3,081.96 and 821.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,055.78 : 3,081.96 = 821.94 : x
2. Step 2: Convert to fraction form
   2,055.78/3,081.96 = 821.94/x
3. Step 3: Cross multiply
   2,055.78x = 3,081.96 × 821.94
4. Step 4: Simplify right side
   2,055.78x = 2,533,186.20
5. Step 5: Solve for x
   x = 2,533,186.20/2,055.78
6. Step 6: Final answer
   x = 1,232.23