Finding the Fourth Proportional to 10,974.35, 15,144.50 and 5,938.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974.35 : 15,144.50 = 5,938.46 : x
2. Step 2: Convert to fraction form
   10,974.35/15,144.50 = 5,938.46/x
3. Step 3: Cross multiply
   10,974.35x = 15,144.50 × 5,938.46
4. Step 4: Simplify right side
   10,974.35x = 89,935,007.47
5. Step 5: Solve for x
   x = 89,935,007.47/10,974.35
6. Step 6: Final answer
   x = 8,195.02