Finding the Fourth Proportional to 2,569.04, 3,543.72 and 1,638.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.04 : 3,543.72 = 1,638.08 : x
2. Step 2: Convert to fraction form
   2,569.04/3,543.72 = 1,638.08/x
3. Step 3: Cross multiply
   2,569.04x = 3,543.72 × 1,638.08
4. Step 4: Simplify right side
   2,569.04x = 5,804,896.86
5. Step 5: Solve for x
   x = 5,804,896.86/2,569.04
6. Step 6: Final answer
   x = 2,259.56