Finding the Fourth Proportional to 2,582.24, 3,562.34 and 1,533.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.24 : 3,562.34 = 1,533.69 : x
2. Step 2: Convert to fraction form
   2,582.24/3,562.34 = 1,533.69/x
3. Step 3: Cross multiply
   2,582.24x = 3,562.34 × 1,533.69
4. Step 4: Simplify right side
   2,582.24x = 5,463,517.57
5. Step 5: Solve for x
   x = 5,463,517.57/2,582.24
6. Step 6: Final answer
   x = 2,115.81