Finding the Fourth Proportional to 10,411.40, 14,367.61 and 5,695.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,411.40 : 14,367.61 = 5,695.63 : x
2. Step 2: Convert to fraction form
   10,411.40/14,367.61 = 5,695.63/x
3. Step 3: Cross multiply
   10,411.40x = 14,367.61 × 5,695.63
4. Step 4: Simplify right side
   10,411.40x = 81,832,590.54
5. Step 5: Solve for x
   x = 81,832,590.54/10,411.40
6. Step 6: Final answer
   x = 7,859.90