Finding the Fourth Proportional to 498.14, 746.59 and 416.73

Step by Step Solution

1. Step 1: Write the proportion equation
   498.14 : 746.59 = 416.73 : x
2. Step 2: Convert to fraction form
   498.14/746.59 = 416.73/x
3. Step 3: Cross multiply
   498.14x = 746.59 × 416.73
4. Step 4: Simplify right side
   498.14x = 311,124.37
5. Step 5: Solve for x
   x = 311,124.37/498.14
6. Step 6: Final answer
   x = 624.58