Finding the Fourth Proportional to 2,109.67, 2,911.50 and 1,165.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.67 : 2,911.50 = 1,165.64 : x
2. Step 2: Convert to fraction form
   2,109.67/2,911.50 = 1,165.64/x
3. Step 3: Cross multiply
   2,109.67x = 2,911.50 × 1,165.64
4. Step 4: Simplify right side
   2,109.67x = 3,393,760.86
5. Step 5: Solve for x
   x = 3,393,760.86/2,109.67
6. Step 6: Final answer
   x = 1,608.67