Finding the Fourth Proportional to 2,582.18, 3,564.51 and 1,534.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.18 : 3,564.51 = 1,534.58 : x
2. Step 2: Convert to fraction form
   2,582.18/3,564.51 = 1,534.58/x
3. Step 3: Cross multiply
   2,582.18x = 3,564.51 × 1,534.58
4. Step 4: Simplify right side
   2,582.18x = 5,470,025.76
5. Step 5: Solve for x
   x = 5,470,025.76/2,582.18
6. Step 6: Final answer
   x = 2,118.38