Finding the Fourth Proportional to 1,905.81, 2,856.98 and 865.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,905.81 : 2,856.98 = 865.25 : x
2. Step 2: Convert to fraction form
   1,905.81/2,856.98 = 865.25/x
3. Step 3: Cross multiply
   1,905.81x = 2,856.98 × 865.25
4. Step 4: Simplify right side
   1,905.81x = 2,472,007.78
5. Step 5: Solve for x
   x = 2,472,007.78/1,905.81
6. Step 6: Final answer
   x = 1,297.09