Finding the Fourth Proportional to 2,109.14, 2,910.61 and 1,165.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.14 : 2,910.61 = 1,165.01 : x
2. Step 2: Convert to fraction form
   2,109.14/2,910.61 = 1,165.01/x
3. Step 3: Cross multiply
   2,109.14x = 2,910.61 × 1,165.01
4. Step 4: Simplify right side
   2,109.14x = 3,390,876.66
5. Step 5: Solve for x
   x = 3,390,876.66/2,109.14
6. Step 6: Final answer
   x = 1,607.70