Finding the Fourth Proportional to 2,582.41, 3,563.78 and 1,534.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.41 : 3,563.78 = 1,534.47 : x
2. Step 2: Convert to fraction form
   2,582.41/3,563.78 = 1,534.47/x
3. Step 3: Cross multiply
   2,582.41x = 3,563.78 × 1,534.47
4. Step 4: Simplify right side
   2,582.41x = 5,468,513.50
5. Step 5: Solve for x
   x = 5,468,513.50/2,582.41
6. Step 6: Final answer
   x = 2,117.60