Finding the Fourth Proportional to 10,931.24, 16,405.60 and 5,667.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,931.24 : 16,405.60 = 5,667.75 : x
2. Step 2: Convert to fraction form
   10,931.24/16,405.60 = 5,667.75/x
3. Step 3: Cross multiply
   10,931.24x = 16,405.60 × 5,667.75
4. Step 4: Simplify right side
   10,931.24x = 92,982,757.37
5. Step 5: Solve for x
   x = 92,982,757.37/10,931.24
6. Step 6: Final answer
   x = 8,506.15