Finding the Fourth Proportional to 2,071.34, 3,106.83 and 684.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.34 : 3,106.83 = 684.71 : x
2. Step 2: Convert to fraction form
   2,071.34/3,106.83 = 684.71/x
3. Step 3: Cross multiply
   2,071.34x = 3,106.83 × 684.71
4. Step 4: Simplify right side
   2,071.34x = 2,127,277.57
5. Step 5: Solve for x
   x = 2,127,277.57/2,071.34
6. Step 6: Final answer
   x = 1,027.01