Finding the Fourth Proportional to 9,530.56, 13,152.16 and 5,338.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,530.56 : 13,152.16 = 5,338.80 : x
2. Step 2: Convert to fraction form
   9,530.56/13,152.16 = 5,338.80/x
3. Step 3: Cross multiply
   9,530.56x = 13,152.16 × 5,338.80
4. Step 4: Simplify right side
   9,530.56x = 70,216,751.81
5. Step 5: Solve for x
   x = 70,216,751.81/9,530.56
6. Step 6: Final answer
   x = 7,367.54