Finding the Fourth Proportional to 2,569.32, 3,852.64 and 837.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.32 : 3,852.64 = 837.72 : x
2. Step 2: Convert to fraction form
   2,569.32/3,852.64 = 837.72/x
3. Step 3: Cross multiply
   2,569.32x = 3,852.64 × 837.72
4. Step 4: Simplify right side
   2,569.32x = 3,227,433.58
5. Step 5: Solve for x
   x = 3,227,433.58/2,569.32
6. Step 6: Final answer
   x = 1,256.14