Finding the Fourth Proportional to 498.39, 688.06 and 333.15

Step by Step Solution

1. Step 1: Write the proportion equation
   498.39 : 688.06 = 333.15 : x
2. Step 2: Convert to fraction form
   498.39/688.06 = 333.15/x
3. Step 3: Cross multiply
   498.39x = 688.06 × 333.15
4. Step 4: Simplify right side
   498.39x = 229,227.19
5. Step 5: Solve for x
   x = 229,227.19/498.39
6. Step 6: Final answer
   x = 459.94