Finding the Fourth Proportional to 978.24, 1,467.37 and 458.17

Step by Step Solution

1. Step 1: Write the proportion equation
   978.24 : 1,467.37 = 458.17 : x
2. Step 2: Convert to fraction form
   978.24/1,467.37 = 458.17/x
3. Step 3: Cross multiply
   978.24x = 1,467.37 × 458.17
4. Step 4: Simplify right side
   978.24x = 672,300.10
5. Step 5: Solve for x
   x = 672,300.10/978.24
6. Step 6: Final answer
   x = 687.26