Finding the Fourth Proportional to 498.33, 746.42 and 315.41

Step by Step Solution

1. Step 1: Write the proportion equation
   498.33 : 746.42 = 315.41 : x
2. Step 2: Convert to fraction form
   498.33/746.42 = 315.41/x
3. Step 3: Cross multiply
   498.33x = 746.42 × 315.41
4. Step 4: Simplify right side
   498.33x = 235,423.02
5. Step 5: Solve for x
   x = 235,423.02/498.33
6. Step 6: Final answer
   x = 472.42