Finding the Fourth Proportional to 10,171.84, 14,036.57 and 5,695.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,171.84 : 14,036.57 = 5,695.52 : x
2. Step 2: Convert to fraction form
   10,171.84/14,036.57 = 5,695.52/x
3. Step 3: Cross multiply
   10,171.84x = 14,036.57 × 5,695.52
4. Step 4: Simplify right side
   10,171.84x = 79,945,565.17
5. Step 5: Solve for x
   x = 79,945,565.17/10,171.84
6. Step 6: Final answer
   x = 7,859.50