Finding the Fourth Proportional to 2,588.01, 3,882.57 and 856.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,588.01 : 3,882.57 = 856.77 : x
2. Step 2: Convert to fraction form
   2,588.01/3,882.57 = 856.77/x
3. Step 3: Cross multiply
   2,588.01x = 3,882.57 × 856.77
4. Step 4: Simplify right side
   2,588.01x = 3,326,469.50
5. Step 5: Solve for x
   x = 3,326,469.50/2,588.01
6. Step 6: Final answer
   x = 1,285.34