Finding the Fourth Proportional to 978.59, 1,467.86 and 329.33

Step by Step Solution

1. Step 1: Write the proportion equation
   978.59 : 1,467.86 = 329.33 : x
2. Step 2: Convert to fraction form
   978.59/1,467.86 = 329.33/x
3. Step 3: Cross multiply
   978.59x = 1,467.86 × 329.33
4. Step 4: Simplify right side
   978.59x = 483,401.35
5. Step 5: Solve for x
   x = 483,401.35/978.59
6. Step 6: Final answer
   x = 493.98