Finding the Fourth Proportional to 2,580.37, 3,871.40 and 825.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,580.37 : 3,871.40 = 825.67 : x
2. Step 2: Convert to fraction form
   2,580.37/3,871.40 = 825.67/x
3. Step 3: Cross multiply
   2,580.37x = 3,871.40 × 825.67
4. Step 4: Simplify right side
   2,580.37x = 3,196,498.84
5. Step 5: Solve for x
   x = 3,196,498.84/2,580.37
6. Step 6: Final answer
   x = 1,238.78