Finding the Fourth Proportional to 2,569.72, 3,854.16 and 838.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.72 : 3,854.16 = 838.12 : x
2. Step 2: Convert to fraction form
   2,569.72/3,854.16 = 838.12/x
3. Step 3: Cross multiply
   2,569.72x = 3,854.16 × 838.12
4. Step 4: Simplify right side
   2,569.72x = 3,230,248.58
5. Step 5: Solve for x
   x = 3,230,248.58/2,569.72
6. Step 6: Final answer
   x = 1,257.04