Finding the Fourth Proportional to 978.82, 1,467.82 and 458.72

Step by Step Solution

1. Step 1: Write the proportion equation
   978.82 : 1,467.82 = 458.72 : x
2. Step 2: Convert to fraction form
   978.82/1,467.82 = 458.72/x
3. Step 3: Cross multiply
   978.82x = 1,467.82 × 458.72
4. Step 4: Simplify right side
   978.82x = 673,318.39
5. Step 5: Solve for x
   x = 673,318.39/978.82
6. Step 6: Final answer
   x = 687.89