Finding the Fourth Proportional to 2,536.81, 3,805.35 and 805.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536.81 : 3,805.35 = 805.57 : x
2. Step 2: Convert to fraction form
   2,536.81/3,805.35 = 805.57/x
3. Step 3: Cross multiply
   2,536.81x = 3,805.35 × 805.57
4. Step 4: Simplify right side
   2,536.81x = 3,065,475.80
5. Step 5: Solve for x
   x = 3,065,475.80/2,536.81
6. Step 6: Final answer
   x = 1,208.40