Finding the Fourth Proportional to 2,557.14, 3,836.42 and 913.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.14 : 3,836.42 = 913.86 : x
2. Step 2: Convert to fraction form
   2,557.14/3,836.42 = 913.86/x
3. Step 3: Cross multiply
   2,557.14x = 3,836.42 × 913.86
4. Step 4: Simplify right side
   2,557.14x = 3,505,946.21
5. Step 5: Solve for x
   x = 3,505,946.21/2,557.14
6. Step 6: Final answer
   x = 1,371.04