Finding the Fourth Proportional to 9,538.82, 13,158.12 and 5,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.82 : 13,158.12 = 5,559.50 : x
2. Step 2: Convert to fraction form
   9,538.82/13,158.12 = 5,559.50/x
3. Step 3: Cross multiply
   9,538.82x = 13,158.12 × 5,559.50
4. Step 4: Simplify right side
   9,538.82x = 73,152,568.14
5. Step 5: Solve for x
   x = 73,152,568.14/9,538.82
6. Step 6: Final answer
   x = 7,668.93