Finding the Fourth Proportional to 2,456.46, 3,689.39 and 2,105.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.46 : 3,689.39 = 2,105.84 : x
2. Step 2: Convert to fraction form
   2,456.46/3,689.39 = 2,105.84/x
3. Step 3: Cross multiply
   2,456.46x = 3,689.39 × 2,105.84
4. Step 4: Simplify right side
   2,456.46x = 7,769,279.53
5. Step 5: Solve for x
   x = 7,769,279.53/2,456.46
6. Step 6: Final answer
   x = 3,162.80