Finding the Fourth Proportional to 10,126.69, 13,974.78 and 5,650.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,126.69 : 13,974.78 = 5,650.44 : x
2. Step 2: Convert to fraction form
   10,126.69/13,974.78 = 5,650.44/x
3. Step 3: Cross multiply
   10,126.69x = 13,974.78 × 5,650.44
4. Step 4: Simplify right side
   10,126.69x = 78,963,655.90
5. Step 5: Solve for x
   x = 78,963,655.90/10,126.69
6. Step 6: Final answer
   x = 7,797.58