Finding the Fourth Proportional to 978.42, 1,467.50 and 329.16

Step by Step Solution

1. Step 1: Write the proportion equation
   978.42 : 1,467.50 = 329.16 : x
2. Step 2: Convert to fraction form
   978.42/1,467.50 = 329.16/x
3. Step 3: Cross multiply
   978.42x = 1,467.50 × 329.16
4. Step 4: Simplify right side
   978.42x = 483,042.30
5. Step 5: Solve for x
   x = 483,042.30/978.42
6. Step 6: Final answer
   x = 493.70