Finding the Fourth Proportional to 2,569.98, 3,542.87 and 1,684.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.98 : 3,542.87 = 1,684.25 : x
2. Step 2: Convert to fraction form
   2,569.98/3,542.87 = 1,684.25/x
3. Step 3: Cross multiply
   2,569.98x = 3,542.87 × 1,684.25
4. Step 4: Simplify right side
   2,569.98x = 5,967,065.95
5. Step 5: Solve for x
   x = 5,967,065.95/2,569.98
6. Step 6: Final answer
   x = 2,321.83