Finding the Fourth Proportional to 2,408.64, 3,613.59 and 1,022.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,408.64 : 3,613.59 = 1,022.03 : x
2. Step 2: Convert to fraction form
   2,408.64/3,613.59 = 1,022.03/x
3. Step 3: Cross multiply
   2,408.64x = 3,613.59 × 1,022.03
4. Step 4: Simplify right side
   2,408.64x = 3,693,179.32
5. Step 5: Solve for x
   x = 3,693,179.32/2,408.64
6. Step 6: Final answer
   x = 1,533.30