Finding the Fourth Proportional to 2,561.82, 3,534.20 and 1,616.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.82 : 3,534.20 = 1,616.88 : x
2. Step 2: Convert to fraction form
   2,561.82/3,534.20 = 1,616.88/x
3. Step 3: Cross multiply
   2,561.82x = 3,534.20 × 1,616.88
4. Step 4: Simplify right side
   2,561.82x = 5,714,377.30
5. Step 5: Solve for x
   x = 5,714,377.30/2,561.82
6. Step 6: Final answer
   x = 2,230.59