Finding the Fourth Proportional to 10,126.41, 13,974.42 and 5,650.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,126.41 : 13,974.42 = 5,650.14 : x
2. Step 2: Convert to fraction form
   10,126.41/13,974.42 = 5,650.14/x
3. Step 3: Cross multiply
   10,126.41x = 13,974.42 × 5,650.14
4. Step 4: Simplify right side
   10,126.41x = 78,957,429.42
5. Step 5: Solve for x
   x = 78,957,429.42/10,126.41
6. Step 6: Final answer
   x = 7,797.18