Finding the Fourth Proportional to 1,095.72, 1,644.63 and 685.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,095.72 : 1,644.63 = 685.68 : x
2. Step 2: Convert to fraction form
   1,095.72/1,644.63 = 685.68/x
3. Step 3: Cross multiply
   1,095.72x = 1,644.63 × 685.68
4. Step 4: Simplify right side
   1,095.72x = 1,127,689.90
5. Step 5: Solve for x
   x = 1,127,689.90/1,095.72
6. Step 6: Final answer
   x = 1,029.18