Finding the Fourth Proportional to 2,071.82, 3,107.54 and 685.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.82 : 3,107.54 = 685.14 : x
2. Step 2: Convert to fraction form
   2,071.82/3,107.54 = 685.14/x
3. Step 3: Cross multiply
   2,071.82x = 3,107.54 × 685.14
4. Step 4: Simplify right side
   2,071.82x = 2,129,099.96
5. Step 5: Solve for x
   x = 2,129,099.96/2,071.82
6. Step 6: Final answer
   x = 1,027.65