Finding the Fourth Proportional to 3,563.40, 5,314.83 and 3,097.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,563.40 : 5,314.83 = 3,097.47 : x
2. Step 2: Convert to fraction form
   3,563.40/5,314.83 = 3,097.47/x
3. Step 3: Cross multiply
   3,563.40x = 5,314.83 × 3,097.47
4. Step 4: Simplify right side
   3,563.40x = 16,462,499.04
5. Step 5: Solve for x
   x = 16,462,499.04/3,563.40
6. Step 6: Final answer
   x = 4,619.88