Finding the Fourth Proportional to 10,144.09, 13,997.77 and 5,668.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,144.09 : 13,997.77 = 5,668.03 : x
2. Step 2: Convert to fraction form
   10,144.09/13,997.77 = 5,668.03/x
3. Step 3: Cross multiply
   10,144.09x = 13,997.77 × 5,668.03
4. Step 4: Simplify right side
   10,144.09x = 79,339,780.29
5. Step 5: Solve for x
   x = 79,339,780.29/10,144.09
6. Step 6: Final answer
   x = 7,821.28