Finding the Fourth Proportional to 2,071.82, 3,107.06 and 684.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.82 : 3,107.06 = 684.89 : x
2. Step 2: Convert to fraction form
   2,071.82/3,107.06 = 684.89/x
3. Step 3: Cross multiply
   2,071.82x = 3,107.06 × 684.89
4. Step 4: Simplify right side
   2,071.82x = 2,128,002.09
5. Step 5: Solve for x
   x = 2,128,002.09/2,071.82
6. Step 6: Final answer
   x = 1,027.12