Finding the Fourth Proportional to 10,126.62, 13,974.69 and 5,650.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,126.62 : 13,974.69 = 5,650.11 : x
2. Step 2: Convert to fraction form
   10,126.62/13,974.69 = 5,650.11/x
3. Step 3: Cross multiply
   10,126.62x = 13,974.69 × 5,650.11
4. Step 4: Simplify right side
   10,126.62x = 78,958,535.72
5. Step 5: Solve for x
   x = 78,958,535.72/10,126.62
6. Step 6: Final answer
   x = 7,797.13