Finding the Fourth Proportional to 10,785.42, 16,180.92 and 5,853.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,785.42 : 16,180.92 = 5,853.78 : x
2. Step 2: Convert to fraction form
   10,785.42/16,180.92 = 5,853.78/x
3. Step 3: Cross multiply
   10,785.42x = 16,180.92 × 5,853.78
4. Step 4: Simplify right side
   10,785.42x = 94,719,545.88
5. Step 5: Solve for x
   x = 94,719,545.88/10,785.42
6. Step 6: Final answer
   x = 8,782.18