Finding the Fourth Proportional to 2,109.62, 2,911.29 and 1,165.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.62 : 2,911.29 = 1,165.44 : x
2. Step 2: Convert to fraction form
   2,109.62/2,911.29 = 1,165.44/x
3. Step 3: Cross multiply
   2,109.62x = 2,911.29 × 1,165.44
4. Step 4: Simplify right side
   2,109.62x = 3,392,933.82
5. Step 5: Solve for x
   x = 3,392,933.82/2,109.62
6. Step 6: Final answer
   x = 1,608.32