Finding the Fourth Proportional to 2,009.85, 2,770.83 and 1,636.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009.85 : 2,770.83 = 1,636.26 : x
2. Step 2: Convert to fraction form
   2,009.85/2,770.83 = 1,636.26/x
3. Step 3: Cross multiply
   2,009.85x = 2,770.83 × 1,636.26
4. Step 4: Simplify right side
   2,009.85x = 4,533,798.30
5. Step 5: Solve for x
   x = 4,533,798.30/2,009.85
6. Step 6: Final answer
   x = 2,255.79