Finding the Fourth Proportional to 2,056.78, 3,085.22 and 824.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,056.78 : 3,085.22 = 824.10 : x
2. Step 2: Convert to fraction form
   2,056.78/3,085.22 = 824.10/x
3. Step 3: Cross multiply
   2,056.78x = 3,085.22 × 824.10
4. Step 4: Simplify right side
   2,056.78x = 2,542,529.80
5. Step 5: Solve for x
   x = 2,542,529.80/2,056.78
6. Step 6: Final answer
   x = 1,236.17