Finding the Fourth Proportional to 10,172.24, 14,037.82 and 5,696.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172.24 : 14,037.82 = 5,696.38 : x
2. Step 2: Convert to fraction form
   10,172.24/14,037.82 = 5,696.38/x
3. Step 3: Cross multiply
   10,172.24x = 14,037.82 × 5,696.38
4. Step 4: Simplify right side
   10,172.24x = 79,964,757.09
5. Step 5: Solve for x
   x = 79,964,757.09/10,172.24
6. Step 6: Final answer
   x = 7,861.08