Finding the Fourth Proportional to 9,098.88, 12,556.80 and 5,563.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,098.88 : 12,556.80 = 5,563.68 : x
2. Step 2: Convert to fraction form
   9,098.88/12,556.80 = 5,563.68/x
3. Step 3: Cross multiply
   9,098.88x = 12,556.80 × 5,563.68
4. Step 4: Simplify right side
   9,098.88x = 69,862,017.02
5. Step 5: Solve for x
   x = 69,862,017.02/9,098.88
6. Step 6: Final answer
   x = 7,678.09