Finding the Fourth Proportional to 498.69, 688.91 and 468.18

Step by Step Solution

1. Step 1: Write the proportion equation
   498.69 : 688.91 = 468.18 : x
2. Step 2: Convert to fraction form
   498.69/688.91 = 468.18/x
3. Step 3: Cross multiply
   498.69x = 688.91 × 468.18
4. Step 4: Simplify right side
   498.69x = 322,531.54
5. Step 5: Solve for x
   x = 322,531.54/498.69
6. Step 6: Final answer
   x = 646.76