Finding the Fourth Proportional to 2,071.69, 3,107.73 and 684.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.69 : 3,107.73 = 684.46 : x
2. Step 2: Convert to fraction form
   2,071.69/3,107.73 = 684.46/x
3. Step 3: Cross multiply
   2,071.69x = 3,107.73 × 684.46
4. Step 4: Simplify right side
   2,071.69x = 2,127,116.88
5. Step 5: Solve for x
   x = 2,127,116.88/2,071.69
6. Step 6: Final answer
   x = 1,026.75