Finding the Fourth Proportional to 10,119.47, 13,964.81 and 5,644.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,119.47 : 13,964.81 = 5,644.22 : x
2. Step 2: Convert to fraction form
   10,119.47/13,964.81 = 5,644.22/x
3. Step 3: Cross multiply
   10,119.47x = 13,964.81 × 5,644.22
4. Step 4: Simplify right side
   10,119.47x = 78,820,361.85
5. Step 5: Solve for x
   x = 78,820,361.85/10,119.47
6. Step 6: Final answer
   x = 7,788.99