Finding the Fourth Proportional to 2,057.33, 3,085.92 and 824.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.33 : 3,085.92 = 824.41 : x
2. Step 2: Convert to fraction form
   2,057.33/3,085.92 = 824.41/x
3. Step 3: Cross multiply
   2,057.33x = 3,085.92 × 824.41
4. Step 4: Simplify right side
   2,057.33x = 2,544,063.31
5. Step 5: Solve for x
   x = 2,544,063.31/2,057.33
6. Step 6: Final answer
   x = 1,236.59