Finding the Fourth Proportional to 2,057.59, 3,085.67 and 824.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.59 : 3,085.67 = 824.68 : x
2. Step 2: Convert to fraction form
   2,057.59/3,085.67 = 824.68/x
3. Step 3: Cross multiply
   2,057.59x = 3,085.67 × 824.68
4. Step 4: Simplify right side
   2,057.59x = 2,544,690.34
5. Step 5: Solve for x
   x = 2,544,690.34/2,057.59
6. Step 6: Final answer
   x = 1,236.73