Finding the Fourth Proportional to 2,561.58, 3,839.94 and 1,261.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.58 : 3,839.94 = 1,261.62 : x
2. Step 2: Convert to fraction form
   2,561.58/3,839.94 = 1,261.62/x
3. Step 3: Cross multiply
   2,561.58x = 3,839.94 × 1,261.62
4. Step 4: Simplify right side
   2,561.58x = 4,844,545.10
5. Step 5: Solve for x
   x = 4,844,545.10/2,561.58
6. Step 6: Final answer
   x = 1,891.23