Finding the Fourth Proportional to 10,171.70, 14,036.78 and 5,695.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,171.70 : 14,036.78 = 5,695.61 : x
2. Step 2: Convert to fraction form
   10,171.70/14,036.78 = 5,695.61/x
3. Step 3: Cross multiply
   10,171.70x = 14,036.78 × 5,695.61
4. Step 4: Simplify right side
   10,171.70x = 79,947,925.87
5. Step 5: Solve for x
   x = 79,947,925.87/10,171.70
6. Step 6: Final answer
   x = 7,859.84