Finding the Fourth Proportional to 978.14, 1,466.71 and 516.17

Step by Step Solution

1. Step 1: Write the proportion equation
   978.14 : 1,466.71 = 516.17 : x
2. Step 2: Convert to fraction form
   978.14/1,466.71 = 516.17/x
3. Step 3: Cross multiply
   978.14x = 1,466.71 × 516.17
4. Step 4: Simplify right side
   978.14x = 757,071.70
5. Step 5: Solve for x
   x = 757,071.70/978.14
6. Step 6: Final answer
   x = 773.99