Finding the Fourth Proportional to 2,109.94, 2,911.92 and 1,165.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.94 : 2,911.92 = 1,165.90 : x
2. Step 2: Convert to fraction form
   2,109.94/2,911.92 = 1,165.90/x
3. Step 3: Cross multiply
   2,109.94x = 2,911.92 × 1,165.90
4. Step 4: Simplify right side
   2,109.94x = 3,395,007.53
5. Step 5: Solve for x
   x = 3,395,007.53/2,109.94
6. Step 6: Final answer
   x = 1,609.05