Finding the Fourth Proportional to 498.42, 687.89 and 302.00

Step by Step Solution

1. Step 1: Write the proportion equation
   498.42 : 687.89 = 302.00 : x
2. Step 2: Convert to fraction form
   498.42/687.89 = 302.00/x
3. Step 3: Cross multiply
   498.42x = 687.89 × 302.00
4. Step 4: Simplify right side
   498.42x = 207,740.10
5. Step 5: Solve for x
   x = 207,740.10/498.42
6. Step 6: Final answer
   x = 416.80