Finding the Fourth Proportional to 2,558.46, 3,836.77 and 892.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558.46 : 3,836.77 = 892.15 : x
2. Step 2: Convert to fraction form
   2,558.46/3,836.77 = 892.15/x
3. Step 3: Cross multiply
   2,558.46x = 3,836.77 × 892.15
4. Step 4: Simplify right side
   2,558.46x = 3,422,974.36
5. Step 5: Solve for x
   x = 3,422,974.36/2,558.46
6. Step 6: Final answer
   x = 1,337.90