Finding the Fourth Proportional to 2,071.09, 3,106.32 and 684.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.09 : 3,106.32 = 684.46 : x
2. Step 2: Convert to fraction form
   2,071.09/3,106.32 = 684.46/x
3. Step 3: Cross multiply
   2,071.09x = 3,106.32 × 684.46
4. Step 4: Simplify right side
   2,071.09x = 2,126,151.79
5. Step 5: Solve for x
   x = 2,126,151.79/2,071.09
6. Step 6: Final answer
   x = 1,026.59