Finding the Fourth Proportional to 498.43, 687.72 and 301.93

Step by Step Solution

1. Step 1: Write the proportion equation
   498.43 : 687.72 = 301.93 : x
2. Step 2: Convert to fraction form
   498.43/687.72 = 301.93/x
3. Step 3: Cross multiply
   498.43x = 687.72 × 301.93
4. Step 4: Simplify right side
   498.43x = 207,643.30
5. Step 5: Solve for x
   x = 207,643.30/498.43
6. Step 6: Final answer
   x = 416.59