Finding the Fourth Proportional to 3,874.50, 5,346.81 and 2,550.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,874.50 : 5,346.81 = 2,550.42 : x
2. Step 2: Convert to fraction form
   3,874.50/5,346.81 = 2,550.42/x
3. Step 3: Cross multiply
   3,874.50x = 5,346.81 × 2,550.42
4. Step 4: Simplify right side
   3,874.50x = 13,636,611.16
5. Step 5: Solve for x
   x = 13,636,611.16/3,874.50
6. Step 6: Final answer
   x = 3,519.58