Finding the Fourth Proportional to 2,566.50, 3,541.77 and 1,635.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.50 : 3,541.77 = 1,635.54 : x
2. Step 2: Convert to fraction form
   2,566.50/3,541.77 = 1,635.54/x
3. Step 3: Cross multiply
   2,566.50x = 3,541.77 × 1,635.54
4. Step 4: Simplify right side
   2,566.50x = 5,792,706.51
5. Step 5: Solve for x
   x = 5,792,706.51/2,566.50
6. Step 6: Final answer
   x = 2,257.05