Finding the Fourth Proportional to 2,109.98, 2,911.61 and 1,165.79

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.98 : 2,911.61 = 1,165.79 : x
2. Step 2: Convert to fraction form
   2,109.98/2,911.61 = 1,165.79/x
3. Step 3: Cross multiply
   2,109.98x = 2,911.61 × 1,165.79
4. Step 4: Simplify right side
   2,109.98x = 3,394,336.02
5. Step 5: Solve for x
   x = 3,394,336.02/2,109.98
6. Step 6: Final answer
   x = 1,608.70