Finding the Fourth Proportional to 2,109.76, 2,911.41 and 1,165.51

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.76 : 2,911.41 = 1,165.51 : x
2. Step 2: Convert to fraction form
   2,109.76/2,911.41 = 1,165.51/x
3. Step 3: Cross multiply
   2,109.76x = 2,911.41 × 1,165.51
4. Step 4: Simplify right side
   2,109.76x = 3,393,277.47
5. Step 5: Solve for x
   x = 3,393,277.47/2,109.76
6. Step 6: Final answer
   x = 1,608.37