Finding the Fourth Proportional to 10,974.42, 15,144.59 and 5,938.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974.42 : 15,144.59 = 5,938.53 : x
2. Step 2: Convert to fraction form
   10,974.42/15,144.59 = 5,938.53/x
3. Step 3: Cross multiply
   10,974.42x = 15,144.59 × 5,938.53
4. Step 4: Simplify right side
   10,974.42x = 89,936,496.64
5. Step 5: Solve for x
   x = 89,936,496.64/10,974.42
6. Step 6: Final answer
   x = 8,195.11