Finding the Fourth Proportional to 2,109.81, 2,911.75 and 1,165.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.81 : 2,911.75 = 1,165.83 : x
2. Step 2: Convert to fraction form
   2,109.81/2,911.75 = 1,165.83/x
3. Step 3: Cross multiply
   2,109.81x = 2,911.75 × 1,165.83
4. Step 4: Simplify right side
   2,109.81x = 3,394,591.67
5. Step 5: Solve for x
   x = 3,394,591.67/2,109.81
6. Step 6: Final answer
   x = 1,608.95