Finding the Fourth Proportional to 498.29, 687.82 and 301.82

Step by Step Solution

1. Step 1: Write the proportion equation
   498.29 : 687.82 = 301.82 : x
2. Step 2: Convert to fraction form
   498.29/687.82 = 301.82/x
3. Step 3: Cross multiply
   498.29x = 687.82 × 301.82
4. Step 4: Simplify right side
   498.29x = 207,597.83
5. Step 5: Solve for x
   x = 207,597.83/498.29
6. Step 6: Final answer
   x = 416.62