Finding the Fourth Proportional to 2,570.32, 3,854.14 and 838.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.32 : 3,854.14 = 838.72 : x
2. Step 2: Convert to fraction form
   2,570.32/3,854.14 = 838.72/x
3. Step 3: Cross multiply
   2,570.32x = 3,854.14 × 838.72
4. Step 4: Simplify right side
   2,570.32x = 3,232,544.30
5. Step 5: Solve for x
   x = 3,232,544.30/2,570.32
6. Step 6: Final answer
   x = 1,257.64