Finding the Fourth Proportional to 1,078.43, 1,488.94 and 829.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,078.43 : 1,488.94 = 829.31 : x
2. Step 2: Convert to fraction form
   1,078.43/1,488.94 = 829.31/x
3. Step 3: Cross multiply
   1,078.43x = 1,488.94 × 829.31
4. Step 4: Simplify right side
   1,078.43x = 1,234,783.31
5. Step 5: Solve for x
   x = 1,234,783.31/1,078.43
6. Step 6: Final answer
   x = 1,144.99