Finding the Fourth Proportional to 498.79, 688.43 and 333.06

Step by Step Solution

1. Step 1: Write the proportion equation
   498.79 : 688.43 = 333.06 : x
2. Step 2: Convert to fraction form
   498.79/688.43 = 333.06/x
3. Step 3: Cross multiply
   498.79x = 688.43 × 333.06
4. Step 4: Simplify right side
   498.79x = 229,288.50
5. Step 5: Solve for x
   x = 229,288.50/498.79
6. Step 6: Final answer
   x = 459.69