Finding the Fourth Proportional to 3,165.37, 4,747.69 and 856.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,165.37 : 4,747.69 = 856.69 : x
2. Step 2: Convert to fraction form
   3,165.37/4,747.69 = 856.69/x
3. Step 3: Cross multiply
   3,165.37x = 4,747.69 × 856.69
4. Step 4: Simplify right side
   3,165.37x = 4,067,287.75
5. Step 5: Solve for x
   x = 4,067,287.75/3,165.37
6. Step 6: Final answer
   x = 1,284.93