Finding the Fourth Proportional to 9,178.92, 12,667.41 and 5,200.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178.92 : 12,667.41 = 5,200.81 : x
2. Step 2: Convert to fraction form
   9,178.92/12,667.41 = 5,200.81/x
3. Step 3: Cross multiply
   9,178.92x = 12,667.41 × 5,200.81
4. Step 4: Simplify right side
   9,178.92x = 65,880,760.93
5. Step 5: Solve for x
   x = 65,880,760.93/9,178.92
6. Step 6: Final answer
   x = 7,177.40