Finding the Fourth Proportional to 2,596.89, 3,871.29 and 2,556.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.89 : 3,871.29 = 2,556.93 : x
2. Step 2: Convert to fraction form
   2,596.89/3,871.29 = 2,556.93/x
3. Step 3: Cross multiply
   2,596.89x = 3,871.29 × 2,556.93
4. Step 4: Simplify right side
   2,596.89x = 9,898,617.54
5. Step 5: Solve for x
   x = 9,898,617.54/2,596.89
6. Step 6: Final answer
   x = 3,811.72