Finding the Fourth Proportional to 2,056.30, 3,085.48 and 824.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,056.30 : 3,085.48 = 824.06 : x
2. Step 2: Convert to fraction form
   2,056.30/3,085.48 = 824.06/x
3. Step 3: Cross multiply
   2,056.30x = 3,085.48 × 824.06
4. Step 4: Simplify right side
   2,056.30x = 2,542,629.39
5. Step 5: Solve for x
   x = 2,542,629.39/2,056.30
6. Step 6: Final answer
   x = 1,236.51