Finding the Fourth Proportional to 2,582.31, 3,564.51 and 1,534.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.31 : 3,564.51 = 1,534.38 : x
2. Step 2: Convert to fraction form
   2,582.31/3,564.51 = 1,534.38/x
3. Step 3: Cross multiply
   2,582.31x = 3,564.51 × 1,534.38
4. Step 4: Simplify right side
   2,582.31x = 5,469,312.85
5. Step 5: Solve for x
   x = 5,469,312.85/2,582.31
6. Step 6: Final answer
   x = 2,117.99