Finding the Fourth Proportional to 2,570.30, 3,855.72 and 838.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.30 : 3,855.72 = 838.52 : x
2. Step 2: Convert to fraction form
   2,570.30/3,855.72 = 838.52/x
3. Step 3: Cross multiply
   2,570.30x = 3,855.72 × 838.52
4. Step 4: Simplify right side
   2,570.30x = 3,233,098.33
5. Step 5: Solve for x
   x = 3,233,098.33/2,570.30
6. Step 6: Final answer
   x = 1,257.87