Finding the Fourth Proportional to 978.18, 1,467.39 and 319.82

Step by Step Solution

1. Step 1: Write the proportion equation
   978.18 : 1,467.39 = 319.82 : x
2. Step 2: Convert to fraction form
   978.18/1,467.39 = 319.82/x
3. Step 3: Cross multiply
   978.18x = 1,467.39 × 319.82
4. Step 4: Simplify right side
   978.18x = 469,302.50
5. Step 5: Solve for x
   x = 469,302.50/978.18
6. Step 6: Final answer
   x = 479.77