Finding the Fourth Proportional to 3,200.92, 4,801.57 and 892.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,200.92 : 4,801.57 = 892.42 : x
2. Step 2: Convert to fraction form
   3,200.92/4,801.57 = 892.42/x
3. Step 3: Cross multiply
   3,200.92x = 4,801.57 × 892.42
4. Step 4: Simplify right side
   3,200.92x = 4,285,017.10
5. Step 5: Solve for x
   x = 4,285,017.10/3,200.92
6. Step 6: Final answer
   x = 1,338.68