Finding the Fourth Proportional to 1,057.86, 1,460.34 and 685.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.86 : 1,460.34 = 685.08 : x
2. Step 2: Convert to fraction form
   1,057.86/1,460.34 = 685.08/x
3. Step 3: Cross multiply
   1,057.86x = 1,460.34 × 685.08
4. Step 4: Simplify right side
   1,057.86x = 1,000,449.73
5. Step 5: Solve for x
   x = 1,000,449.73/1,057.86
6. Step 6: Final answer
   x = 945.73