Finding the Fourth Proportional to 2,071.40, 3,106.69 and 684.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.40 : 3,106.69 = 684.47 : x
2. Step 2: Convert to fraction form
   2,071.40/3,106.69 = 684.47/x
3. Step 3: Cross multiply
   2,071.40x = 3,106.69 × 684.47
4. Step 4: Simplify right side
   2,071.40x = 2,126,442.16
5. Step 5: Solve for x
   x = 2,126,442.16/2,071.40
6. Step 6: Final answer
   x = 1,026.57