Finding the Fourth Proportional to 2,659.47, 3,669.33 and 1,582.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,659.47 : 3,669.33 = 1,582.57 : x
2. Step 2: Convert to fraction form
   2,659.47/3,669.33 = 1,582.57/x
3. Step 3: Cross multiply
   2,659.47x = 3,669.33 × 1,582.57
4. Step 4: Simplify right side
   2,659.47x = 5,806,982.10
5. Step 5: Solve for x
   x = 5,806,982.10/2,659.47
6. Step 6: Final answer
   x = 2,183.51