Finding the Fourth Proportional to 2,582.16, 3,563.28 and 1,534

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.16 : 3,563.28 = 1,534 : x
2. Step 2: Convert to fraction form
   2,582.16/3,563.28 = 1,534/x
3. Step 3: Cross multiply
   2,582.16x = 3,563.28 × 1,534
4. Step 4: Simplify right side
   2,582.16x = 5,466,071.52
5. Step 5: Solve for x
   x = 5,466,071.52/2,582.16
6. Step 6: Final answer
   x = 2,116.86