Finding the Fourth Proportional to 2,396.64, 3,593.76 and 1,097

Step by Step Solution

1. Step 1: Write the proportion equation
   2,396.64 : 3,593.76 = 1,097 : x
2. Step 2: Convert to fraction form
   2,396.64/3,593.76 = 1,097/x
3. Step 3: Cross multiply
   2,396.64x = 3,593.76 × 1,097
4. Step 4: Simplify right side
   2,396.64x = 3,942,354.72
5. Step 5: Solve for x
   x = 3,942,354.72/2,396.64
6. Step 6: Final answer
   x = 1,644.95