Finding the Fourth Proportional to 2,071.94, 3,107.17 and 685.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.94 : 3,107.17 = 685.02 : x
2. Step 2: Convert to fraction form
   2,071.94/3,107.17 = 685.02/x
3. Step 3: Cross multiply
   2,071.94x = 3,107.17 × 685.02
4. Step 4: Simplify right side
   2,071.94x = 2,128,473.59
5. Step 5: Solve for x
   x = 2,128,473.59/2,071.94
6. Step 6: Final answer
   x = 1,027.29