Finding the Fourth Proportional to 2,582.56, 3,560.72 and 1,534.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.56 : 3,560.72 = 1,534.24 : x
2. Step 2: Convert to fraction form
   2,582.56/3,560.72 = 1,534.24/x
3. Step 3: Cross multiply
   2,582.56x = 3,560.72 × 1,534.24
4. Step 4: Simplify right side
   2,582.56x = 5,462,999.05
5. Step 5: Solve for x
   x = 5,462,999.05/2,582.56
6. Step 6: Final answer
   x = 2,115.34