Finding the Fourth Proportional to 2,569.16, 3,542.82 and 1,684.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.16 : 3,542.82 = 1,684.04 : x
2. Step 2: Convert to fraction form
   2,569.16/3,542.82 = 1,684.04/x
3. Step 3: Cross multiply
   2,569.16x = 3,542.82 × 1,684.04
4. Step 4: Simplify right side
   2,569.16x = 5,966,250.59
5. Step 5: Solve for x
   x = 5,966,250.59/2,569.16
6. Step 6: Final answer
   x = 2,322.26