Finding the Fourth Proportional to 2,558.56, 3,836.46 and 914.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558.56 : 3,836.46 = 914.20 : x
2. Step 2: Convert to fraction form
   2,558.56/3,836.46 = 914.20/x
3. Step 3: Cross multiply
   2,558.56x = 3,836.46 × 914.20
4. Step 4: Simplify right side
   2,558.56x = 3,507,291.73
5. Step 5: Solve for x
   x = 3,507,291.73/2,558.56
6. Step 6: Final answer
   x = 1,370.81