Finding the Fourth Proportional to 978.50, 1,467.76 and 294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   978.50 : 1,467.76 = 294.50 : x
2. Step 2: Convert to fraction form
   978.50/1,467.76 = 294.50/x
3. Step 3: Cross multiply
   978.50x = 1,467.76 × 294.50
4. Step 4: Simplify right side
   978.50x = 432,255.32
5. Step 5: Solve for x
   x = 432,255.32/978.50
6. Step 6: Final answer
   x = 441.75