Finding the Fourth Proportional to 10,160.78, 14,021.22 and 5,683.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,160.78 : 14,021.22 = 5,683.75 : x
2. Step 2: Convert to fraction form
   10,160.78/14,021.22 = 5,683.75/x
3. Step 3: Cross multiply
   10,160.78x = 14,021.22 × 5,683.75
4. Step 4: Simplify right side
   10,160.78x = 79,693,142.33
5. Step 5: Solve for x
   x = 79,693,142.33/10,160.78
6. Step 6: Final answer
   x = 7,843.21