Finding the Fourth Proportional to 6,096.86, 8,413.82 and 3,737.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,096.86 : 8,413.82 = 3,737.63 : x
2. Step 2: Convert to fraction form
   6,096.86/8,413.82 = 3,737.63/x
3. Step 3: Cross multiply
   6,096.86x = 8,413.82 × 3,737.63
4. Step 4: Simplify right side
   6,096.86x = 31,447,685.29
5. Step 5: Solve for x
   x = 31,447,685.29/6,096.86
6. Step 6: Final answer
   x = 5,158.02