Finding the Fourth Proportional to 11,837.97, 17,744.42 and 5,168.61

Step by Step Solution

1. Step 1: Write the proportion equation
   11,837.97 : 17,744.42 = 5,168.61 : x
2. Step 2: Convert to fraction form
   11,837.97/17,744.42 = 5,168.61/x
3. Step 3: Cross multiply
   11,837.97x = 17,744.42 × 5,168.61
4. Step 4: Simplify right side
   11,837.97x = 91,713,960.81
5. Step 5: Solve for x
   x = 91,713,960.81/11,837.97
6. Step 6: Final answer
   x = 7,747.44