Finding the Fourth Proportional to 2,297.56, 3,446.82 and 758.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,297.56 : 3,446.82 = 758.56 : x
2. Step 2: Convert to fraction form
   2,297.56/3,446.82 = 758.56/x
3. Step 3: Cross multiply
   2,297.56x = 3,446.82 × 758.56
4. Step 4: Simplify right side
   2,297.56x = 2,614,619.78
5. Step 5: Solve for x
   x = 2,614,619.78/2,297.56
6. Step 6: Final answer
   x = 1,138.00