Finding the Fourth Proportional to 10,974.61, 15,144.94 and 5,938.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974.61 : 15,144.94 = 5,938.92 : x
2. Step 2: Convert to fraction form
   10,974.61/15,144.94 = 5,938.92/x
3. Step 3: Cross multiply
   10,974.61x = 15,144.94 × 5,938.92
4. Step 4: Simplify right side
   10,974.61x = 89,944,569.43
5. Step 5: Solve for x
   x = 89,944,569.43/10,974.61
6. Step 6: Final answer
   x = 8,195.70