Finding the Fourth Proportional to 2,559.80, 3,839.81 and 1,097.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559.80 : 3,839.81 = 1,097.96 : x
2. Step 2: Convert to fraction form
   2,559.80/3,839.81 = 1,097.96/x
3. Step 3: Cross multiply
   2,559.80x = 3,839.81 × 1,097.96
4. Step 4: Simplify right side
   2,559.80x = 4,215,933.10
5. Step 5: Solve for x
   x = 4,215,933.10/2,559.80
6. Step 6: Final answer
   x = 1,646.98