Finding the Fourth Proportional to 10,126.37, 13,974.35 and 5,649.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,126.37 : 13,974.35 = 5,649.85 : x
2. Step 2: Convert to fraction form
   10,126.37/13,974.35 = 5,649.85/x
3. Step 3: Cross multiply
   10,126.37x = 13,974.35 × 5,649.85
4. Step 4: Simplify right side
   10,126.37x = 78,952,981.35
5. Step 5: Solve for x
   x = 78,952,981.35/10,126.37
6. Step 6: Final answer
   x = 7,796.77