Finding the Fourth Proportional to 10,936.82, 16,413.60 and 5,676.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,936.82 : 16,413.60 = 5,676.14 : x
2. Step 2: Convert to fraction form
   10,936.82/16,413.60 = 5,676.14/x
3. Step 3: Cross multiply
   10,936.82x = 16,413.60 × 5,676.14
4. Step 4: Simplify right side
   10,936.82x = 93,165,891.50
5. Step 5: Solve for x
   x = 93,165,891.50/10,936.82
6. Step 6: Final answer
   x = 8,518.55