Finding the Fourth Proportional to 978.66, 1,466.10 and 949.50

Step by Step Solution

1. Step 1: Write the proportion equation
   978.66 : 1,466.10 = 949.50 : x
2. Step 2: Convert to fraction form
   978.66/1,466.10 = 949.50/x
3. Step 3: Cross multiply
   978.66x = 1,466.10 × 949.50
4. Step 4: Simplify right side
   978.66x = 1,392,061.95
5. Step 5: Solve for x
   x = 1,392,061.95/978.66
6. Step 6: Final answer
   x = 1,422.42