Finding the Fourth Proportional to 2,582.82, 3,564.20 and 1,589.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.82 : 3,564.20 = 1,589.76 : x
2. Step 2: Convert to fraction form
   2,582.82/3,564.20 = 1,589.76/x
3. Step 3: Cross multiply
   2,582.82x = 3,564.20 × 1,589.76
4. Step 4: Simplify right side
   2,582.82x = 5,666,226.57
5. Step 5: Solve for x
   x = 5,666,226.57/2,582.82
6. Step 6: Final answer
   x = 2,193.81