Finding the Fourth Proportional to 1,127.84, 1,556.16 and 685.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,127.84 : 1,556.16 = 685.92 : x
2. Step 2: Convert to fraction form
   1,127.84/1,556.16 = 685.92/x
3. Step 3: Cross multiply
   1,127.84x = 1,556.16 × 685.92
4. Step 4: Simplify right side
   1,127.84x = 1,067,401.27
5. Step 5: Solve for x
   x = 1,067,401.27/1,127.84
6. Step 6: Final answer
   x = 946.41