Finding the Fourth Proportional to 10,126.11, 13,974.02 and 5,649.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,126.11 : 13,974.02 = 5,649.59 : x
2. Step 2: Convert to fraction form
   10,126.11/13,974.02 = 5,649.59/x
3. Step 3: Cross multiply
   10,126.11x = 13,974.02 × 5,649.59
4. Step 4: Simplify right side
   10,126.11x = 78,947,511.52
5. Step 5: Solve for x
   x = 78,947,511.52/10,126.11
6. Step 6: Final answer
   x = 7,796.43