Finding the Fourth Proportional to 2,564.48, 3,537.34 and 1,618.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.48 : 3,537.34 = 1,618.61 : x
2. Step 2: Convert to fraction form
   2,564.48/3,537.34 = 1,618.61/x
3. Step 3: Cross multiply
   2,564.48x = 3,537.34 × 1,618.61
4. Step 4: Simplify right side
   2,564.48x = 5,725,552.16
5. Step 5: Solve for x
   x = 5,725,552.16/2,564.48
6. Step 6: Final answer
   x = 2,232.63