Finding the Fourth Proportional to 2,071.46, 3,105.68 and 684.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.46 : 3,105.68 = 684.38 : x
2. Step 2: Convert to fraction form
   2,071.46/3,105.68 = 684.38/x
3. Step 3: Cross multiply
   2,071.46x = 3,105.68 × 684.38
4. Step 4: Simplify right side
   2,071.46x = 2,125,465.28
5. Step 5: Solve for x
   x = 2,125,465.28/2,071.46
6. Step 6: Final answer
   x = 1,026.07