Finding the Fourth Proportional to 10,192.10, 14,065.78 and 5,716.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,192.10 : 14,065.78 = 5,716.14 : x
2. Step 2: Convert to fraction form
   10,192.10/14,065.78 = 5,716.14/x
3. Step 3: Cross multiply
   10,192.10x = 14,065.78 × 5,716.14
4. Step 4: Simplify right side
   10,192.10x = 80,401,967.69
5. Step 5: Solve for x
   x = 80,401,967.69/10,192.10
6. Step 6: Final answer
   x = 7,888.66