Finding the Fourth Proportional to 2,109.71, 2,911.34 and 1,165.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.71 : 2,911.34 = 1,165.47 : x
2. Step 2: Convert to fraction form
   2,109.71/2,911.34 = 1,165.47/x
3. Step 3: Cross multiply
   2,109.71x = 2,911.34 × 1,165.47
4. Step 4: Simplify right side
   2,109.71x = 3,393,073.60
5. Step 5: Solve for x
   x = 3,393,073.60/2,109.71
6. Step 6: Final answer
   x = 1,608.32