Finding the Fourth Proportional to 498.76, 688.41 and 302.24

Step by Step Solution

1. Step 1: Write the proportion equation
   498.76 : 688.41 = 302.24 : x
2. Step 2: Convert to fraction form
   498.76/688.41 = 302.24/x
3. Step 3: Cross multiply
   498.76x = 688.41 × 302.24
4. Step 4: Simplify right side
   498.76x = 208,061.60
5. Step 5: Solve for x
   x = 208,061.60/498.76
6. Step 6: Final answer
   x = 417.16