Finding the Fourth Proportional to 9,256.71, 12,771.33 and 5,667.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.71 : 12,771.33 = 5,667.92 : x
2. Step 2: Convert to fraction form
   9,256.71/12,771.33 = 5,667.92/x
3. Step 3: Cross multiply
   9,256.71x = 12,771.33 × 5,667.92
4. Step 4: Simplify right side
   9,256.71x = 72,386,784.54
5. Step 5: Solve for x
   x = 72,386,784.54/9,256.71
6. Step 6: Final answer
   x = 7,819.93