Finding the Fourth Proportional to 2,583.22, 3,875.39 and 851.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.22 : 3,875.39 = 851.78 : x
2. Step 2: Convert to fraction form
   2,583.22/3,875.39 = 851.78/x
3. Step 3: Cross multiply
   2,583.22x = 3,875.39 × 851.78
4. Step 4: Simplify right side
   2,583.22x = 3,300,979.69
5. Step 5: Solve for x
   x = 3,300,979.69/2,583.22
6. Step 6: Final answer
   x = 1,277.85