Finding the Fourth Proportional to 2,561.98, 3,534.58 and 1,678.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.98 : 3,534.58 = 1,678.27 : x
2. Step 2: Convert to fraction form
   2,561.98/3,534.58 = 1,678.27/x
3. Step 3: Cross multiply
   2,561.98x = 3,534.58 × 1,678.27
4. Step 4: Simplify right side
   2,561.98x = 5,931,966.54
5. Step 5: Solve for x
   x = 5,931,966.54/2,561.98
6. Step 6: Final answer
   x = 2,315.39