Finding the Fourth Proportional to 2,109.85, 2,911.57 and 1,165.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.85 : 2,911.57 = 1,165.73 : x
2. Step 2: Convert to fraction form
   2,109.85/2,911.57 = 1,165.73/x
3. Step 3: Cross multiply
   2,109.85x = 2,911.57 × 1,165.73
4. Step 4: Simplify right side
   2,109.85x = 3,394,087.02
5. Step 5: Solve for x
   x = 3,394,087.02/2,109.85
6. Step 6: Final answer
   x = 1,608.69