Finding the Fourth Proportional to 9,346.56, 12,892.56 and 5,567.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,346.56 : 12,892.56 = 5,567.24 : x
2. Step 2: Convert to fraction form
   9,346.56/12,892.56 = 5,567.24/x
3. Step 3: Cross multiply
   9,346.56x = 12,892.56 × 5,567.24
4. Step 4: Simplify right side
   9,346.56x = 71,775,975.73
5. Step 5: Solve for x
   x = 71,775,975.73/9,346.56
6. Step 6: Final answer
   x = 7,679.40