Finding the Fourth Proportional to 9,563.67, 13,198.89 and 5,788.91

Step by Step Solution

1. Step 1: Write the proportion equation
   9,563.67 : 13,198.89 = 5,788.91 : x
2. Step 2: Convert to fraction form
   9,563.67/13,198.89 = 5,788.91/x
3. Step 3: Cross multiply
   9,563.67x = 13,198.89 × 5,788.91
4. Step 4: Simplify right side
   9,563.67x = 76,407,186.31
5. Step 5: Solve for x
   x = 76,407,186.31/9,563.67
6. Step 6: Final answer
   x = 7,989.32