Finding the Fourth Proportional to 1,095.83, 1,641.72 and 685.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,095.83 : 1,641.72 = 685.16 : x
2. Step 2: Convert to fraction form
   1,095.83/1,641.72 = 685.16/x
3. Step 3: Cross multiply
   1,095.83x = 1,641.72 × 685.16
4. Step 4: Simplify right side
   1,095.83x = 1,124,837.54
5. Step 5: Solve for x
   x = 1,124,837.54/1,095.83
6. Step 6: Final answer
   x = 1,026.47