Finding the Fourth Proportional to 1,550.86, 2,327.10 and 685.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,550.86 : 2,327.10 = 685.78 : x
2. Step 2: Convert to fraction form
   1,550.86/2,327.10 = 685.78/x
3. Step 3: Cross multiply
   1,550.86x = 2,327.10 × 685.78
4. Step 4: Simplify right side
   1,550.86x = 1,595,878.64
5. Step 5: Solve for x
   x = 1,595,878.64/1,550.86
6. Step 6: Final answer
   x = 1,029.03