Finding the Fourth Proportional to 3,871.18, 5,814.69 and 2,556.86

Step by Step Solution

1. Step 1: Write the proportion equation
   3,871.18 : 5,814.69 = 2,556.86 : x
2. Step 2: Convert to fraction form
   3,871.18/5,814.69 = 2,556.86/x
3. Step 3: Cross multiply
   3,871.18x = 5,814.69 × 2,556.86
4. Step 4: Simplify right side
   3,871.18x = 14,867,348.27
5. Step 5: Solve for x
   x = 14,867,348.27/3,871.18
6. Step 6: Final answer
   x = 3,840.52