Finding the Fourth Proportional to 10,149.84, 14,006.72 and 5,673.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,149.84 : 14,006.72 = 5,673.57 : x
2. Step 2: Convert to fraction form
   10,149.84/14,006.72 = 5,673.57/x
3. Step 3: Cross multiply
   10,149.84x = 14,006.72 × 5,673.57
4. Step 4: Simplify right side
   10,149.84x = 79,468,078.02
5. Step 5: Solve for x
   x = 79,468,078.02/10,149.84
6. Step 6: Final answer
   x = 7,829.49