Finding the Fourth Proportional to 10,144.56, 13,997.82 and 5,668.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,144.56 : 13,997.82 = 5,668.08 : x
2. Step 2: Convert to fraction form
   10,144.56/13,997.82 = 5,668.08/x
3. Step 3: Cross multiply
   10,144.56x = 13,997.82 × 5,668.08
4. Step 4: Simplify right side
   10,144.56x = 79,340,763.59
5. Step 5: Solve for x
   x = 79,340,763.59/10,144.56
6. Step 6: Final answer
   x = 7,821.02