Finding the Fourth Proportional to 2,569.98, 3,855.60 and 838.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.98 : 3,855.60 = 838.56 : x
2. Step 2: Convert to fraction form
   2,569.98/3,855.60 = 838.56/x
3. Step 3: Cross multiply
   2,569.98x = 3,855.60 × 838.56
4. Step 4: Simplify right side
   2,569.98x = 3,233,151.94
5. Step 5: Solve for x
   x = 3,233,151.94/2,569.98
6. Step 6: Final answer
   x = 1,258.05