Finding the Fourth Proportional to 2,557.92, 3,834.78 and 913.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.92 : 3,834.78 = 913.56 : x
2. Step 2: Convert to fraction form
   2,557.92/3,834.78 = 913.56/x
3. Step 3: Cross multiply
   2,557.92x = 3,834.78 × 913.56
4. Step 4: Simplify right side
   2,557.92x = 3,503,301.62
5. Step 5: Solve for x
   x = 3,503,301.62/2,557.92
6. Step 6: Final answer
   x = 1,369.59