Finding the Fourth Proportional to 2,419.75, 3,629.94 and 688.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,419.75 : 3,629.94 = 688.42 : x
2. Step 2: Convert to fraction form
   2,419.75/3,629.94 = 688.42/x
3. Step 3: Cross multiply
   2,419.75x = 3,629.94 × 688.42
4. Step 4: Simplify right side
   2,419.75x = 2,498,923.29
5. Step 5: Solve for x
   x = 2,498,923.29/2,419.75
6. Step 6: Final answer
   x = 1,032.72