Finding the Fourth Proportional to 2,582.40, 3,874.24 and 939.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.40 : 3,874.24 = 939.84 : x
2. Step 2: Convert to fraction form
   2,582.40/3,874.24 = 939.84/x
3. Step 3: Cross multiply
   2,582.40x = 3,874.24 × 939.84
4. Step 4: Simplify right side
   2,582.40x = 3,641,165.72
5. Step 5: Solve for x
   x = 3,641,165.72/2,582.40
6. Step 6: Final answer
   x = 1,409.99