Finding the Fourth Proportional to 9,608.37, 14,413.29 and 3,688.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,608.37 : 14,413.29 = 3,688.10 : x
2. Step 2: Convert to fraction form
   9,608.37/14,413.29 = 3,688.10/x
3. Step 3: Cross multiply
   9,608.37x = 14,413.29 × 3,688.10
4. Step 4: Simplify right side
   9,608.37x = 53,157,654.85
5. Step 5: Solve for x
   x = 53,157,654.85/9,608.37
6. Step 6: Final answer
   x = 5,532.43