Finding the Fourth Proportional to 978.72, 1,467.87 and 517.02

Step by Step Solution

1. Step 1: Write the proportion equation
   978.72 : 1,467.87 = 517.02 : x
2. Step 2: Convert to fraction form
   978.72/1,467.87 = 517.02/x
3. Step 3: Cross multiply
   978.72x = 1,467.87 × 517.02
4. Step 4: Simplify right side
   978.72x = 758,918.15
5. Step 5: Solve for x
   x = 758,918.15/978.72
6. Step 6: Final answer
   x = 775.42