Finding the Fourth Proportional to 2,109.47, 2,910.83 and 1,165.21

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.47 : 2,910.83 = 1,165.21 : x
2. Step 2: Convert to fraction form
   2,109.47/2,910.83 = 1,165.21/x
3. Step 3: Cross multiply
   2,109.47x = 2,910.83 × 1,165.21
4. Step 4: Simplify right side
   2,109.47x = 3,391,715.12
5. Step 5: Solve for x
   x = 3,391,715.12/2,109.47
6. Step 6: Final answer
   x = 1,607.86