Finding the Fourth Proportional to 2,071.52, 3,107.56 and 684.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.52 : 3,107.56 = 684.40 : x
2. Step 2: Convert to fraction form
   2,071.52/3,107.56 = 684.40/x
3. Step 3: Cross multiply
   2,071.52x = 3,107.56 × 684.40
4. Step 4: Simplify right side
   2,071.52x = 2,126,814.06
5. Step 5: Solve for x
   x = 2,126,814.06/2,071.52
6. Step 6: Final answer
   x = 1,026.69