Finding the Fourth Proportional to 10,786.42, 16,182.42 and 5,854.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,786.42 : 16,182.42 = 5,854.78 : x
2. Step 2: Convert to fraction form
   10,786.42/16,182.42 = 5,854.78/x
3. Step 3: Cross multiply
   10,786.42x = 16,182.42 × 5,854.78
4. Step 4: Simplify right side
   10,786.42x = 94,744,508.97
5. Step 5: Solve for x
   x = 94,744,508.97/10,786.42
6. Step 6: Final answer
   x = 8,783.68