Finding the Fourth Proportional to 9,568.56, 13,202.82 and 5,376

Step by Step Solution

1. Step 1: Write the proportion equation
   9,568.56 : 13,202.82 = 5,376 : x
2. Step 2: Convert to fraction form
   9,568.56/13,202.82 = 5,376/x
3. Step 3: Cross multiply
   9,568.56x = 13,202.82 × 5,376
4. Step 4: Simplify right side
   9,568.56x = 70,978,360.32
5. Step 5: Solve for x
   x = 70,978,360.32/9,568.56
6. Step 6: Final answer
   x = 7,417.87