Finding the Fourth Proportional to 5,786.43, 7,986.57 and 3,766.26

Step by Step Solution

1. Step 1: Write the proportion equation
   5,786.43 : 7,986.57 = 3,766.26 : x
2. Step 2: Convert to fraction form
   5,786.43/7,986.57 = 3,766.26/x
3. Step 3: Cross multiply
   5,786.43x = 7,986.57 × 3,766.26
4. Step 4: Simplify right side
   5,786.43x = 30,079,499.13
5. Step 5: Solve for x
   x = 30,079,499.13/5,786.43
6. Step 6: Final answer
   x = 5,198.28