Finding the Fourth Proportional to 2,409.89, 3,616.61 and 1,023.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,409.89 : 3,616.61 = 1,023.62 : x
2. Step 2: Convert to fraction form
   2,409.89/3,616.61 = 1,023.62/x
3. Step 3: Cross multiply
   2,409.89x = 3,616.61 × 1,023.62
4. Step 4: Simplify right side
   2,409.89x = 3,702,011.13
5. Step 5: Solve for x
   x = 3,702,011.13/2,409.89
6. Step 6: Final answer
   x = 1,536.18