Finding the Fourth Proportional to 2,561.88, 3,843.78 and 1,023

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.88 : 3,843.78 = 1,023 : x
2. Step 2: Convert to fraction form
   2,561.88/3,843.78 = 1,023/x
3. Step 3: Cross multiply
   2,561.88x = 3,843.78 × 1,023
4. Step 4: Simplify right side
   2,561.88x = 3,932,186.94
5. Step 5: Solve for x
   x = 3,932,186.94/2,561.88
6. Step 6: Final answer
   x = 1,534.88