Finding the Fourth Proportional to 2,582.61, 3,562.70 and 1,638.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.61 : 3,562.70 = 1,638.15 : x
2. Step 2: Convert to fraction form
   2,582.61/3,562.70 = 1,638.15/x
3. Step 3: Cross multiply
   2,582.61x = 3,562.70 × 1,638.15
4. Step 4: Simplify right side
   2,582.61x = 5,836,215.45
5. Step 5: Solve for x
   x = 5,836,215.45/2,582.61
6. Step 6: Final answer
   x = 2,259.82