Finding the Fourth Proportional to 10,149.90, 14,007.50 and 5,673.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,149.90 : 14,007.50 = 5,673.97 : x
2. Step 2: Convert to fraction form
   10,149.90/14,007.50 = 5,673.97/x
3. Step 3: Cross multiply
   10,149.90x = 14,007.50 × 5,673.97
4. Step 4: Simplify right side
   10,149.90x = 79,478,134.78
5. Step 5: Solve for x
   x = 79,478,134.78/10,149.90
6. Step 6: Final answer
   x = 7,830.44