Finding the Fourth Proportional to 498.10, 686.72 and 413.86

Step by Step Solution

1. Step 1: Write the proportion equation
   498.10 : 686.72 = 413.86 : x
2. Step 2: Convert to fraction form
   498.10/686.72 = 413.86/x
3. Step 3: Cross multiply
   498.10x = 686.72 × 413.86
4. Step 4: Simplify right side
   498.10x = 284,205.94
5. Step 5: Solve for x
   x = 284,205.94/498.10
6. Step 6: Final answer
   x = 570.58