Finding the Fourth Proportional to 10,974.10, 15,144.15 and 5,938.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974.10 : 15,144.15 = 5,938.21 : x
2. Step 2: Convert to fraction form
   10,974.10/15,144.15 = 5,938.21/x
3. Step 3: Cross multiply
   10,974.10x = 15,144.15 × 5,938.21
4. Step 4: Simplify right side
   10,974.10x = 89,929,142.97
5. Step 5: Solve for x
   x = 89,929,142.97/10,974.10
6. Step 6: Final answer
   x = 8,194.67