Finding the Fourth Proportional to 3,674.41, 5,066.90 and 2,556.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,674.41 : 5,066.90 = 2,556.61 : x
2. Step 2: Convert to fraction form
   3,674.41/5,066.90 = 2,556.61/x
3. Step 3: Cross multiply
   3,674.41x = 5,066.90 × 2,556.61
4. Step 4: Simplify right side
   3,674.41x = 12,954,074.43
5. Step 5: Solve for x
   x = 12,954,074.43/3,674.41
6. Step 6: Final answer
   x = 3,525.48