Finding the Fourth Proportional to 2,109.31, 2,910.82 and 1,165.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.31 : 2,910.82 = 1,165.14 : x
2. Step 2: Convert to fraction form
   2,109.31/2,910.82 = 1,165.14/x
3. Step 3: Cross multiply
   2,109.31x = 2,910.82 × 1,165.14
4. Step 4: Simplify right side
   2,109.31x = 3,391,498.99
5. Step 5: Solve for x
   x = 3,391,498.99/2,109.31
6. Step 6: Final answer
   x = 1,607.87