Finding the Fourth Proportional to 2,557.49, 3,837.85 and 914.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.49 : 3,837.85 = 914.00 : x
2. Step 2: Convert to fraction form
   2,557.49/3,837.85 = 914.00/x
3. Step 3: Cross multiply
   2,557.49x = 3,837.85 × 914.00
4. Step 4: Simplify right side
   2,557.49x = 3,507,773.43
5. Step 5: Solve for x
   x = 3,507,773.43/2,557.49
6. Step 6: Final answer
   x = 1,371.57