Finding the Fourth Proportional to 2,582.28, 3,563.46 and 1,533.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.28 : 3,563.46 = 1,533.72 : x
2. Step 2: Convert to fraction form
   2,582.28/3,563.46 = 1,533.72/x
3. Step 3: Cross multiply
   2,582.28x = 3,563.46 × 1,533.72
4. Step 4: Simplify right side
   2,582.28x = 5,465,349.87
5. Step 5: Solve for x
   x = 5,465,349.87/2,582.28
6. Step 6: Final answer
   x = 2,116.48