Finding the Fourth Proportional to 10,172.28, 14,038.22 and 5,695.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172.28 : 14,038.22 = 5,695.14 : x
2. Step 2: Convert to fraction form
   10,172.28/14,038.22 = 5,695.14/x
3. Step 3: Cross multiply
   10,172.28x = 14,038.22 × 5,695.14
4. Step 4: Simplify right side
   10,172.28x = 79,949,628.25
5. Step 5: Solve for x
   x = 79,949,628.25/10,172.28
6. Step 6: Final answer
   x = 7,859.56