Finding the Fourth Proportional to 498.78, 687.96 and 323.82

Step by Step Solution

1. Step 1: Write the proportion equation
   498.78 : 687.96 = 323.82 : x
2. Step 2: Convert to fraction form
   498.78/687.96 = 323.82/x
3. Step 3: Cross multiply
   498.78x = 687.96 × 323.82
4. Step 4: Simplify right side
   498.78x = 222,775.21
5. Step 5: Solve for x
   x = 222,775.21/498.78
6. Step 6: Final answer
   x = 446.64