Finding the Fourth Proportional to 2,055.46, 3,085.49 and 823.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,055.46 : 3,085.49 = 823.72 : x
2. Step 2: Convert to fraction form
   2,055.46/3,085.49 = 823.72/x
3. Step 3: Cross multiply
   2,055.46x = 3,085.49 × 823.72
4. Step 4: Simplify right side
   2,055.46x = 2,541,579.82
5. Step 5: Solve for x
   x = 2,541,579.82/2,055.46
6. Step 6: Final answer
   x = 1,236.50