Finding the Fourth Proportional to 10,142.24, 13,996.28 and 5,665.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.24 : 13,996.28 = 5,665.99 : x
2. Step 2: Convert to fraction form
   10,142.24/13,996.28 = 5,665.99/x
3. Step 3: Cross multiply
   10,142.24x = 13,996.28 × 5,665.99
4. Step 4: Simplify right side
   10,142.24x = 79,302,712.54
5. Step 5: Solve for x
   x = 79,302,712.54/10,142.24
6. Step 6: Final answer
   x = 7,819.06