Finding the Fourth Proportional to 9,564.37, 13,198.80 and 5,315.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564.37 : 13,198.80 = 5,315.82 : x
2. Step 2: Convert to fraction form
   9,564.37/13,198.80 = 5,315.82/x
3. Step 3: Cross multiply
   9,564.37x = 13,198.80 × 5,315.82
4. Step 4: Simplify right side
   9,564.37x = 70,162,445.02
5. Step 5: Solve for x
   x = 70,162,445.02/9,564.37
6. Step 6: Final answer
   x = 7,335.81