Finding the Fourth Proportional to 2,584.54, 3,875.13 and 940.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.54 : 3,875.13 = 940.78 : x
2. Step 2: Convert to fraction form
   2,584.54/3,875.13 = 940.78/x
3. Step 3: Cross multiply
   2,584.54x = 3,875.13 × 940.78
4. Step 4: Simplify right side
   2,584.54x = 3,645,644.80
5. Step 5: Solve for x
   x = 3,645,644.80/2,584.54
6. Step 6: Final answer
   x = 1,410.56