Finding the Fourth Proportional to 6,096.24, 8,413.20 and 3,738.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,096.24 : 8,413.20 = 3,738.06 : x
2. Step 2: Convert to fraction form
   6,096.24/8,413.20 = 3,738.06/x
3. Step 3: Cross multiply
   6,096.24x = 8,413.20 × 3,738.06
4. Step 4: Simplify right side
   6,096.24x = 31,449,046.39
5. Step 5: Solve for x
   x = 31,449,046.39/6,096.24
6. Step 6: Final answer
   x = 5,158.76