Finding the Fourth Proportional to 2,582.39, 3,874.40 and 938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.39 : 3,874.40 = 938.50 : x
2. Step 2: Convert to fraction form
   2,582.39/3,874.40 = 938.50/x
3. Step 3: Cross multiply
   2,582.39x = 3,874.40 × 938.50
4. Step 4: Simplify right side
   2,582.39x = 3,636,124.40
5. Step 5: Solve for x
   x = 3,636,124.40/2,582.39
6. Step 6: Final answer
   x = 1,408.05