Finding the Fourth Proportional to 498.69, 686.34 and 424.71

Step by Step Solution

1. Step 1: Write the proportion equation
   498.69 : 686.34 = 424.71 : x
2. Step 2: Convert to fraction form
   498.69/686.34 = 424.71/x
3. Step 3: Cross multiply
   498.69x = 686.34 × 424.71
4. Step 4: Simplify right side
   498.69x = 291,495.46
5. Step 5: Solve for x
   x = 291,495.46/498.69
6. Step 6: Final answer
   x = 584.52