Finding the Fourth Proportional to 3,563.02, 5,345.17 and 1,097.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,563.02 : 5,345.17 = 1,097.78 : x
2. Step 2: Convert to fraction form
   3,563.02/5,345.17 = 1,097.78/x
3. Step 3: Cross multiply
   3,563.02x = 5,345.17 × 1,097.78
4. Step 4: Simplify right side
   3,563.02x = 5,867,820.72
5. Step 5: Solve for x
   x = 5,867,820.72/3,563.02
6. Step 6: Final answer
   x = 1,646.87