Finding the Fourth Proportional to 10,974.20, 15,144.32 and 5,938.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974.20 : 15,144.32 = 5,938.42 : x
2. Step 2: Convert to fraction form
   10,974.20/15,144.32 = 5,938.42/x
3. Step 3: Cross multiply
   10,974.20x = 15,144.32 × 5,938.42
4. Step 4: Simplify right side
   10,974.20x = 89,933,332.77
5. Step 5: Solve for x
   x = 89,933,332.77/10,974.20
6. Step 6: Final answer
   x = 8,194.98