Finding the Fourth Proportional to 1,550.88, 2,327.12 and 685.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,550.88 : 2,327.12 = 685.80 : x
2. Step 2: Convert to fraction form
   1,550.88/2,327.12 = 685.80/x
3. Step 3: Cross multiply
   1,550.88x = 2,327.12 × 685.80
4. Step 4: Simplify right side
   1,550.88x = 1,595,938.90
5. Step 5: Solve for x
   x = 1,595,938.90/1,550.88
6. Step 6: Final answer
   x = 1,029.05