Finding the Fourth Proportional to 10,172.77, 14,038.91 and 5,695.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172.77 : 14,038.91 = 5,695.63 : x
2. Step 2: Convert to fraction form
   10,172.77/14,038.91 = 5,695.63/x
3. Step 3: Cross multiply
   10,172.77x = 14,038.91 × 5,695.63
4. Step 4: Simplify right side
   10,172.77x = 79,960,436.96
5. Step 5: Solve for x
   x = 79,960,436.96/10,172.77
6. Step 6: Final answer
   x = 7,860.24