Finding the Fourth Proportional to 498.35, 687.72 and 301.72

Step by Step Solution

1. Step 1: Write the proportion equation
   498.35 : 687.72 = 301.72 : x
2. Step 2: Convert to fraction form
   498.35/687.72 = 301.72/x
3. Step 3: Cross multiply
   498.35x = 687.72 × 301.72
4. Step 4: Simplify right side
   498.35x = 207,498.88
5. Step 5: Solve for x
   x = 207,498.88/498.35
6. Step 6: Final answer
   x = 416.38