Finding the Fourth Proportional to 13,738.06, 20,591.37 and 5,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,738.06 : 20,591.37 = 5,413.50 : x
2. Step 2: Convert to fraction form
   13,738.06/20,591.37 = 5,413.50/x
3. Step 3: Cross multiply
   13,738.06x = 20,591.37 × 5,413.50
4. Step 4: Simplify right side
   13,738.06x = 111,471,381.50
5. Step 5: Solve for x
   x = 111,471,381.50/13,738.06
6. Step 6: Final answer
   x = 8,114.06