Finding the Fourth Proportional to 2,564.82, 3,539.97 and 2,004.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.82 : 3,539.97 = 2,004.18 : x
2. Step 2: Convert to fraction form
   2,564.82/3,539.97 = 2,004.18/x
3. Step 3: Cross multiply
   2,564.82x = 3,539.97 × 2,004.18
4. Step 4: Simplify right side
   2,564.82x = 7,094,737.07
5. Step 5: Solve for x
   x = 7,094,737.07/2,564.82
6. Step 6: Final answer
   x = 2,766.17