Finding the Fourth Proportional to 2,071.53, 3,106.89 and 684.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.53 : 3,106.89 = 684.61 : x
2. Step 2: Convert to fraction form
   2,071.53/3,106.89 = 684.61/x
3. Step 3: Cross multiply
   2,071.53x = 3,106.89 × 684.61
4. Step 4: Simplify right side
   2,071.53x = 2,127,000.20
5. Step 5: Solve for x
   x = 2,127,000.20/2,071.53
6. Step 6: Final answer
   x = 1,026.78