Finding the Fourth Proportional to 9,097.25, 12,556.49 and 5,563.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,097.25 : 12,556.49 = 5,563.49 : x
2. Step 2: Convert to fraction form
   9,097.25/12,556.49 = 5,563.49/x
3. Step 3: Cross multiply
   9,097.25x = 12,556.49 × 5,563.49
4. Step 4: Simplify right side
   9,097.25x = 69,857,815.95
5. Step 5: Solve for x
   x = 69,857,815.95/9,097.25
6. Step 6: Final answer
   x = 7,679.01