Finding the Fourth Proportional to 1,095.90, 1,645.82 and 685.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,095.90 : 1,645.82 = 685.83 : x
2. Step 2: Convert to fraction form
   1,095.90/1,645.82 = 685.83/x
3. Step 3: Cross multiply
   1,095.90x = 1,645.82 × 685.83
4. Step 4: Simplify right side
   1,095.90x = 1,128,758.05
5. Step 5: Solve for x
   x = 1,128,758.05/1,095.90
6. Step 6: Final answer
   x = 1,029.99