Finding the Fourth Proportional to 978.82, 1,468.15 and 329.47

Step by Step Solution

1. Step 1: Write the proportion equation
   978.82 : 1,468.15 = 329.47 : x
2. Step 2: Convert to fraction form
   978.82/1,468.15 = 329.47/x
3. Step 3: Cross multiply
   978.82x = 1,468.15 × 329.47
4. Step 4: Simplify right side
   978.82x = 483,711.38
5. Step 5: Solve for x
   x = 483,711.38/978.82
6. Step 6: Final answer
   x = 494.18