Finding the Fourth Proportional to 10,220.78, 14,100.68 and 5,743.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,220.78 : 14,100.68 = 5,743.51 : x
2. Step 2: Convert to fraction form
   10,220.78/14,100.68 = 5,743.51/x
3. Step 3: Cross multiply
   10,220.78x = 14,100.68 × 5,743.51
4. Step 4: Simplify right side
   10,220.78x = 80,987,375.69
5. Step 5: Solve for x
   x = 80,987,375.69/10,220.78
6. Step 6: Final answer
   x = 7,923.79