Finding the Fourth Proportional to 2,419.21, 3,628.46 and 775.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,419.21 : 3,628.46 = 775.59 : x
2. Step 2: Convert to fraction form
   2,419.21/3,628.46 = 775.59/x
3. Step 3: Cross multiply
   2,419.21x = 3,628.46 × 775.59
4. Step 4: Simplify right side
   2,419.21x = 2,814,175.27
5. Step 5: Solve for x
   x = 2,814,175.27/2,419.21
6. Step 6: Final answer
   x = 1,163.26