Finding the Fourth Proportional to 10,964.64, 16,442.67 and 3,567.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,964.64 : 16,442.67 = 3,567.30 : x
2. Step 2: Convert to fraction form
   10,964.64/16,442.67 = 3,567.30/x
3. Step 3: Cross multiply
   10,964.64x = 16,442.67 × 3,567.30
4. Step 4: Simplify right side
   10,964.64x = 58,655,936.69
5. Step 5: Solve for x
   x = 58,655,936.69/10,964.64
6. Step 6: Final answer
   x = 5,349.55