Finding the Fourth Proportional to 10,172.10, 14,038.02 and 5,695.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172.10 : 14,038.02 = 5,695.59 : x
2. Step 2: Convert to fraction form
   10,172.10/14,038.02 = 5,695.59/x
3. Step 3: Cross multiply
   10,172.10x = 14,038.02 × 5,695.59
4. Step 4: Simplify right side
   10,172.10x = 79,954,753.69
5. Step 5: Solve for x
   x = 79,954,753.69/10,172.10
6. Step 6: Final answer
   x = 7,860.20