Finding the Fourth Proportional to 11,177.38, 16,740.55 and 5,338.09

Step by Step Solution

1. Step 1: Write the proportion equation
   11,177.38 : 16,740.55 = 5,338.09 : x
2. Step 2: Convert to fraction form
   11,177.38/16,740.55 = 5,338.09/x
3. Step 3: Cross multiply
   11,177.38x = 16,740.55 × 5,338.09
4. Step 4: Simplify right side
   11,177.38x = 89,362,452.16
5. Step 5: Solve for x
   x = 89,362,452.16/11,177.38
6. Step 6: Final answer
   x = 7,994.94