Finding the Fourth Proportional to 978.30, 1,467.42 and 328.98

Step by Step Solution

1. Step 1: Write the proportion equation
   978.30 : 1,467.42 = 328.98 : x
2. Step 2: Convert to fraction form
   978.30/1,467.42 = 328.98/x
3. Step 3: Cross multiply
   978.30x = 1,467.42 × 328.98
4. Step 4: Simplify right side
   978.30x = 482,751.83
5. Step 5: Solve for x
   x = 482,751.83/978.30
6. Step 6: Final answer
   x = 493.46