Finding the Fourth Proportional to 11,847.05, 17,771.35 and 3,413.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,847.05 : 17,771.35 = 3,413.78 : x
2. Step 2: Convert to fraction form
   11,847.05/17,771.35 = 3,413.78/x
3. Step 3: Cross multiply
   11,847.05x = 17,771.35 × 3,413.78
4. Step 4: Simplify right side
   11,847.05x = 60,667,479.20
5. Step 5: Solve for x
   x = 60,667,479.20/11,847.05
6. Step 6: Final answer
   x = 5,120.89