Finding the Fourth Proportional to 2,057.04, 3,085.50 and 824.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.04 : 3,085.50 = 824.12 : x
2. Step 2: Convert to fraction form
   2,057.04/3,085.50 = 824.12/x
3. Step 3: Cross multiply
   2,057.04x = 3,085.50 × 824.12
4. Step 4: Simplify right side
   2,057.04x = 2,542,826.88
5. Step 5: Solve for x
   x = 2,542,826.88/2,057.04
6. Step 6: Final answer
   x = 1,236.16