Finding the Fourth Proportional to 2,205.81, 3,309.53 and 1,165.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,205.81 : 3,309.53 = 1,165.86 : x
2. Step 2: Convert to fraction form
   2,205.81/3,309.53 = 1,165.86/x
3. Step 3: Cross multiply
   2,205.81x = 3,309.53 × 1,165.86
4. Step 4: Simplify right side
   2,205.81x = 3,858,442.82
5. Step 5: Solve for x
   x = 3,858,442.82/2,205.81
6. Step 6: Final answer
   x = 1,749.22