Finding the Fourth Proportional to 10,149.48, 14,006.34 and 5,673.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,149.48 : 14,006.34 = 5,673.27 : x
2. Step 2: Convert to fraction form
   10,149.48/14,006.34 = 5,673.27/x
3. Step 3: Cross multiply
   10,149.48x = 14,006.34 × 5,673.27
4. Step 4: Simplify right side
   10,149.48x = 79,461,748.53
5. Step 5: Solve for x
   x = 79,461,748.53/10,149.48
6. Step 6: Final answer
   x = 7,829.14