Finding the Fourth Proportional to 10,171.86, 14,038.05 and 5,695.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,171.86 : 14,038.05 = 5,695.53 : x
2. Step 2: Convert to fraction form
   10,171.86/14,038.05 = 5,695.53/x
3. Step 3: Cross multiply
   10,171.86x = 14,038.05 × 5,695.53
4. Step 4: Simplify right side
   10,171.86x = 79,954,134.92
5. Step 5: Solve for x
   x = 79,954,134.92/10,171.86
6. Step 6: Final answer
   x = 7,860.33