Finding the Fourth Proportional to 10,149.92, 14,007.54 and 5,673.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,149.92 : 14,007.54 = 5,673.69 : x
2. Step 2: Convert to fraction form
   10,149.92/14,007.54 = 5,673.69/x
3. Step 3: Cross multiply
   10,149.92x = 14,007.54 × 5,673.69
4. Step 4: Simplify right side
   10,149.92x = 79,474,439.62
5. Step 5: Solve for x
   x = 79,474,439.62/10,149.92
6. Step 6: Final answer
   x = 7,830.06