Finding the Fourth Proportional to 1,059.69, 1,589.85 and 329.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.69 : 1,589.85 = 329.31 : x
2. Step 2: Convert to fraction form
   1,059.69/1,589.85 = 329.31/x
3. Step 3: Cross multiply
   1,059.69x = 1,589.85 × 329.31
4. Step 4: Simplify right side
   1,059.69x = 523,553.50
5. Step 5: Solve for x
   x = 523,553.50/1,059.69
6. Step 6: Final answer
   x = 494.06