Finding the Fourth Proportional to 2,071.49, 3,107.61 and 684.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.49 : 3,107.61 = 684.89 : x
2. Step 2: Convert to fraction form
   2,071.49/3,107.61 = 684.89/x
3. Step 3: Cross multiply
   2,071.49x = 3,107.61 × 684.89
4. Step 4: Simplify right side
   2,071.49x = 2,128,371.01
5. Step 5: Solve for x
   x = 2,128,371.01/2,071.49
6. Step 6: Final answer
   x = 1,027.46