Finding the Fourth Proportional to 10,411.20, 14,367.57 and 5,695.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,411.20 : 14,367.57 = 5,695.38 : x
2. Step 2: Convert to fraction form
   10,411.20/14,367.57 = 5,695.38/x
3. Step 3: Cross multiply
   10,411.20x = 14,367.57 × 5,695.38
4. Step 4: Simplify right side
   10,411.20x = 81,828,770.83
5. Step 5: Solve for x
   x = 81,828,770.83/10,411.20
6. Step 6: Final answer
   x = 7,859.69