Finding the Fourth Proportional to 2,564.50, 3,539.01 and 1,633.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.50 : 3,539.01 = 1,633.54 : x
2. Step 2: Convert to fraction form
   2,564.50/3,539.01 = 1,633.54/x
3. Step 3: Cross multiply
   2,564.50x = 3,539.01 × 1,633.54
4. Step 4: Simplify right side
   2,564.50x = 5,781,114.40
5. Step 5: Solve for x
   x = 5,781,114.40/2,564.50
6. Step 6: Final answer
   x = 2,254.29