Finding the Fourth Proportional to 2,385.96, 3,578.33 and 1,605.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,385.96 : 3,578.33 = 1,605.52 : x
2. Step 2: Convert to fraction form
   2,385.96/3,578.33 = 1,605.52/x
3. Step 3: Cross multiply
   2,385.96x = 3,578.33 × 1,605.52
4. Step 4: Simplify right side
   2,385.96x = 5,745,072.35
5. Step 5: Solve for x
   x = 5,745,072.35/2,385.96
6. Step 6: Final answer
   x = 2,407.87