Finding the Fourth Proportional to 10,411.42, 14,367.69 and 5,695.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,411.42 : 14,367.69 = 5,695.78 : x
2. Step 2: Convert to fraction form
   10,411.42/14,367.69 = 5,695.78/x
3. Step 3: Cross multiply
   10,411.42x = 14,367.69 × 5,695.78
4. Step 4: Simplify right side
   10,411.42x = 81,835,201.35
5. Step 5: Solve for x
   x = 81,835,201.35/10,411.42
6. Step 6: Final answer
   x = 7,860.14