Finding the Fourth Proportional to 498.89, 688.71 and 299.82

Step by Step Solution

1. Step 1: Write the proportion equation
   498.89 : 688.71 = 299.82 : x
2. Step 2: Convert to fraction form
   498.89/688.71 = 299.82/x
3. Step 3: Cross multiply
   498.89x = 688.71 × 299.82
4. Step 4: Simplify right side
   498.89x = 206,489.03
5. Step 5: Solve for x
   x = 206,489.03/498.89
6. Step 6: Final answer
   x = 413.90