Finding the Fourth Proportional to 2,559.24, 3,839.42 and 828.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559.24 : 3,839.42 = 828.04 : x
2. Step 2: Convert to fraction form
   2,559.24/3,839.42 = 828.04/x
3. Step 3: Cross multiply
   2,559.24x = 3,839.42 × 828.04
4. Step 4: Simplify right side
   2,559.24x = 3,179,193.34
5. Step 5: Solve for x
   x = 3,179,193.34/2,559.24
6. Step 6: Final answer
   x = 1,242.24