Finding the Fourth Proportional to 2,504.86, 3,757.65 and 838.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,504.86 : 3,757.65 = 838.42 : x
2. Step 2: Convert to fraction form
   2,504.86/3,757.65 = 838.42/x
3. Step 3: Cross multiply
   2,504.86x = 3,757.65 × 838.42
4. Step 4: Simplify right side
   2,504.86x = 3,150,488.91
5. Step 5: Solve for x
   x = 3,150,488.91/2,504.86
6. Step 6: Final answer
   x = 1,257.75