Finding the Fourth Proportional to 2,305.67, 3,184.82 and 1,865.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,305.67 : 3,184.82 = 1,865.23 : x
2. Step 2: Convert to fraction form
   2,305.67/3,184.82 = 1,865.23/x
3. Step 3: Cross multiply
   2,305.67x = 3,184.82 × 1,865.23
4. Step 4: Simplify right side
   2,305.67x = 5,940,411.52
5. Step 5: Solve for x
   x = 5,940,411.52/2,305.67
6. Step 6: Final answer
   x = 2,576.44