Finding the Fourth Proportional to 2,109.50, 2,911.07 and 1,165.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.50 : 2,911.07 = 1,165.26 : x
2. Step 2: Convert to fraction form
   2,109.50/2,911.07 = 1,165.26/x
3. Step 3: Cross multiply
   2,109.50x = 2,911.07 × 1,165.26
4. Step 4: Simplify right side
   2,109.50x = 3,392,147.60
5. Step 5: Solve for x
   x = 3,392,147.60/2,109.50
6. Step 6: Final answer
   x = 1,608.04