Finding the Fourth Proportional to 2,055.84, 3,081.86 and 822.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,055.84 : 3,081.86 = 822.48 : x
2. Step 2: Convert to fraction form
   2,055.84/3,081.86 = 822.48/x
3. Step 3: Cross multiply
   2,055.84x = 3,081.86 × 822.48
4. Step 4: Simplify right side
   2,055.84x = 2,534,768.21
5. Step 5: Solve for x
   x = 2,534,768.21/2,055.84
6. Step 6: Final answer
   x = 1,232.96