Finding the Fourth Proportional to 1,781.85, 2,672.27 and 685.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,781.85 : 2,672.27 = 685.42 : x
2. Step 2: Convert to fraction form
   1,781.85/2,672.27 = 685.42/x
3. Step 3: Cross multiply
   1,781.85x = 2,672.27 × 685.42
4. Step 4: Simplify right side
   1,781.85x = 1,831,627.30
5. Step 5: Solve for x
   x = 1,831,627.30/1,781.85
6. Step 6: Final answer
   x = 1,027.94