Finding the Fourth Proportional to 2,419.69, 3,629.34 and 775.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,419.69 : 3,629.34 = 775.80 : x
2. Step 2: Convert to fraction form
   2,419.69/3,629.34 = 775.80/x
3. Step 3: Cross multiply
   2,419.69x = 3,629.34 × 775.80
4. Step 4: Simplify right side
   2,419.69x = 2,815,623.83
5. Step 5: Solve for x
   x = 2,815,623.83/2,419.69
6. Step 6: Final answer
   x = 1,163.63