Finding the Fourth Proportional to 10,141.09, 13,995.41 and 5,665.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.09 : 13,995.41 = 5,665.49 : x
2. Step 2: Convert to fraction form
   10,141.09/13,995.41 = 5,665.49/x
3. Step 3: Cross multiply
   10,141.09x = 13,995.41 × 5,665.49
4. Step 4: Simplify right side
   10,141.09x = 79,290,757.10
5. Step 5: Solve for x
   x = 79,290,757.10/10,141.09
6. Step 6: Final answer
   x = 7,818.76