Finding the Fourth Proportional to 2,564.52, 3,545.01 and 2,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.52 : 3,545.01 = 2,287.50 : x
2. Step 2: Convert to fraction form
   2,564.52/3,545.01 = 2,287.50/x
3. Step 3: Cross multiply
   2,564.52x = 3,545.01 × 2,287.50
4. Step 4: Simplify right side
   2,564.52x = 8,109,212.31
5. Step 5: Solve for x
   x = 8,109,212.31/2,564.52
6. Step 6: Final answer
   x = 3,162.08