Finding the Fourth Proportional to 1,909.58, 2,864.34 and 677.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,909.58 : 2,864.34 = 677.34 : x
2. Step 2: Convert to fraction form
   1,909.58/2,864.34 = 677.34/x
3. Step 3: Cross multiply
   1,909.58x = 2,864.34 × 677.34
4. Step 4: Simplify right side
   1,909.58x = 1,940,132.06
5. Step 5: Solve for x
   x = 1,940,132.06/1,909.58
6. Step 6: Final answer
   x = 1,016.00