Finding the Fourth Proportional to 3,563.46, 5,343.57 and 1,097.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,563.46 : 5,343.57 = 1,097.82 : x
2. Step 2: Convert to fraction form
   3,563.46/5,343.57 = 1,097.82/x
3. Step 3: Cross multiply
   3,563.46x = 5,343.57 × 1,097.82
4. Step 4: Simplify right side
   3,563.46x = 5,866,278.02
5. Step 5: Solve for x
   x = 5,866,278.02/3,563.46
6. Step 6: Final answer
   x = 1,646.23