Finding the Fourth Proportional to 978.56, 1,467.42 and 329.12

Step by Step Solution

1. Step 1: Write the proportion equation
   978.56 : 1,467.42 = 329.12 : x
2. Step 2: Convert to fraction form
   978.56/1,467.42 = 329.12/x
3. Step 3: Cross multiply
   978.56x = 1,467.42 × 329.12
4. Step 4: Simplify right side
   978.56x = 482,957.27
5. Step 5: Solve for x
   x = 482,957.27/978.56
6. Step 6: Final answer
   x = 493.54