Finding the Fourth Proportional to 2,629.92, 3,629.10 and 1,582.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,629.92 : 3,629.10 = 1,582.56 : x
2. Step 2: Convert to fraction form
   2,629.92/3,629.10 = 1,582.56/x
3. Step 3: Cross multiply
   2,629.92x = 3,629.10 × 1,582.56
4. Step 4: Simplify right side
   2,629.92x = 5,743,268.50
5. Step 5: Solve for x
   x = 5,743,268.50/2,629.92
6. Step 6: Final answer
   x = 2,183.82