Finding the Fourth Proportional to 3,856.82, 5,785.25 and 935.12

Step by Step Solution

1. Step 1: Write the proportion equation
   3,856.82 : 5,785.25 = 935.12 : x
2. Step 2: Convert to fraction form
   3,856.82/5,785.25 = 935.12/x
3. Step 3: Cross multiply
   3,856.82x = 5,785.25 × 935.12
4. Step 4: Simplify right side
   3,856.82x = 5,409,869.38
5. Step 5: Solve for x
   x = 5,409,869.38/3,856.82
6. Step 6: Final answer
   x = 1,402.68