Finding the Fourth Proportional to 10,785.88, 16,181.55 and 5,854.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,785.88 : 16,181.55 = 5,854.20 : x
2. Step 2: Convert to fraction form
   10,785.88/16,181.55 = 5,854.20/x
3. Step 3: Cross multiply
   10,785.88x = 16,181.55 × 5,854.20
4. Step 4: Simplify right side
   10,785.88x = 94,730,030.01
5. Step 5: Solve for x
   x = 94,730,030.01/10,785.88
6. Step 6: Final answer
   x = 8,782.78