Finding the Fourth Proportional to 2,584.78, 3,874.08 and 940.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.78 : 3,874.08 = 940.43 : x
2. Step 2: Convert to fraction form
   2,584.78/3,874.08 = 940.43/x
3. Step 3: Cross multiply
   2,584.78x = 3,874.08 × 940.43
4. Step 4: Simplify right side
   2,584.78x = 3,643,314.27
5. Step 5: Solve for x
   x = 3,643,314.27/2,584.78
6. Step 6: Final answer
   x = 1,409.53