Finding the Fourth Proportional to 2,402.16, 3,608.16 and 1,581.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,402.16 : 3,608.16 = 1,581.60 : x
2. Step 2: Convert to fraction form
   2,402.16/3,608.16 = 1,581.60/x
3. Step 3: Cross multiply
   2,402.16x = 3,608.16 × 1,581.60
4. Step 4: Simplify right side
   2,402.16x = 5,706,665.86
5. Step 5: Solve for x
   x = 5,706,665.86/2,402.16
6. Step 6: Final answer
   x = 2,375.64