Finding the Fourth Proportional to 2,405.48, 3,586.72 and 2,402.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,405.48 : 3,586.72 = 2,402.24 : x
2. Step 2: Convert to fraction form
   2,405.48/3,586.72 = 2,402.24/x
3. Step 3: Cross multiply
   2,405.48x = 3,586.72 × 2,402.24
4. Step 4: Simplify right side
   2,405.48x = 8,616,162.25
5. Step 5: Solve for x
   x = 8,616,162.25/2,405.48
6. Step 6: Final answer
   x = 3,581.89