Finding the Fourth Proportional to 10,126.29, 13,974.23 and 5,650.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,126.29 : 13,974.23 = 5,650.04 : x
2. Step 2: Convert to fraction form
   10,126.29/13,974.23 = 5,650.04/x
3. Step 3: Cross multiply
   10,126.29x = 13,974.23 × 5,650.04
4. Step 4: Simplify right side
   10,126.29x = 78,954,860.35
5. Step 5: Solve for x
   x = 78,954,860.35/10,126.29
6. Step 6: Final answer
   x = 7,797.02