Finding the Fourth Proportional to 10,119.10, 13,965.18 and 5,642.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,119.10 : 13,965.18 = 5,642.23 : x
2. Step 2: Convert to fraction form
   10,119.10/13,965.18 = 5,642.23/x
3. Step 3: Cross multiply
   10,119.10x = 13,965.18 × 5,642.23
4. Step 4: Simplify right side
   10,119.10x = 78,794,757.55
5. Step 5: Solve for x
   x = 78,794,757.55/10,119.10
6. Step 6: Final answer
   x = 7,786.74