Finding the Fourth Proportional to 2,582.91, 3,563.33 and 1,534.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.91 : 3,563.33 = 1,534.77 : x
2. Step 2: Convert to fraction form
   2,582.91/3,563.33 = 1,534.77/x
3. Step 3: Cross multiply
   2,582.91x = 3,563.33 × 1,534.77
4. Step 4: Simplify right side
   2,582.91x = 5,468,884.31
5. Step 5: Solve for x
   x = 5,468,884.31/2,582.91
6. Step 6: Final answer
   x = 2,117.33