Finding the Fourth Proportional to 10,149.60, 14,007.75 and 5,674.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,149.60 : 14,007.75 = 5,674.27 : x
2. Step 2: Convert to fraction form
   10,149.60/14,007.75 = 5,674.27/x
3. Step 3: Cross multiply
   10,149.60x = 14,007.75 × 5,674.27
4. Step 4: Simplify right side
   10,149.60x = 79,483,755.59
5. Step 5: Solve for x
   x = 79,483,755.59/10,149.60
6. Step 6: Final answer
   x = 7,831.22