Finding the Fourth Proportional to 2,570.52, 3,856.80 and 839.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.52 : 3,856.80 = 839.16 : x
2. Step 2: Convert to fraction form
   2,570.52/3,856.80 = 839.16/x
3. Step 3: Cross multiply
   2,570.52x = 3,856.80 × 839.16
4. Step 4: Simplify right side
   2,570.52x = 3,236,472.29
5. Step 5: Solve for x
   x = 3,236,472.29/2,570.52
6. Step 6: Final answer
   x = 1,259.07