Finding the Fourth Proportional to 10,150.92, 14,008.92 and 5,674.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,150.92 : 14,008.92 = 5,674.69 : x
2. Step 2: Convert to fraction form
   10,150.92/14,008.92 = 5,674.69/x
3. Step 3: Cross multiply
   10,150.92x = 14,008.92 × 5,674.69
4. Step 4: Simplify right side
   10,150.92x = 79,496,278.23
5. Step 5: Solve for x
   x = 79,496,278.23/10,150.92
6. Step 6: Final answer
   x = 7,831.44