Finding the Fourth Proportional to 3,185.92, 4,774.23 and 2,263.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,185.92 : 4,774.23 = 2,263.27 : x
2. Step 2: Convert to fraction form
   3,185.92/4,774.23 = 2,263.27/x
3. Step 3: Cross multiply
   3,185.92x = 4,774.23 × 2,263.27
4. Step 4: Simplify right side
   3,185.92x = 10,805,371.53
5. Step 5: Solve for x
   x = 10,805,371.53/3,185.92
6. Step 6: Final answer
   x = 3,391.60