Finding the Fourth Proportional to 2,109.80, 2,910.18 and 1,645.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.80 : 2,910.18 = 1,645.16 : x
2. Step 2: Convert to fraction form
   2,109.80/2,910.18 = 1,645.16/x
3. Step 3: Cross multiply
   2,109.80x = 2,910.18 × 1,645.16
4. Step 4: Simplify right side
   2,109.80x = 4,787,711.73
5. Step 5: Solve for x
   x = 4,787,711.73/2,109.80
6. Step 6: Final answer
   x = 2,269.27