Finding the Fourth Proportional to 742.86, 1,114.72 and 685.48

Step by Step Solution

1. Step 1: Write the proportion equation
   742.86 : 1,114.72 = 685.48 : x
2. Step 2: Convert to fraction form
   742.86/1,114.72 = 685.48/x
3. Step 3: Cross multiply
   742.86x = 1,114.72 × 685.48
4. Step 4: Simplify right side
   742.86x = 764,118.27
5. Step 5: Solve for x
   x = 764,118.27/742.86
6. Step 6: Final answer
   x = 1,028.62