Finding the Fourth Proportional to 9,097.50, 12,556.80 and 5,563.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,097.50 : 12,556.80 = 5,563.71 : x
2. Step 2: Convert to fraction form
   9,097.50/12,556.80 = 5,563.71/x
3. Step 3: Cross multiply
   9,097.50x = 12,556.80 × 5,563.71
4. Step 4: Simplify right side
   9,097.50x = 69,862,393.73
5. Step 5: Solve for x
   x = 69,862,393.73/9,097.50
6. Step 6: Final answer
   x = 7,679.30