Finding the Fourth Proportional to 9,856.94, 13,604.92 and 5,667.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,856.94 : 13,604.92 = 5,667.62 : x
2. Step 2: Convert to fraction form
   9,856.94/13,604.92 = 5,667.62/x
3. Step 3: Cross multiply
   9,856.94x = 13,604.92 × 5,667.62
4. Step 4: Simplify right side
   9,856.94x = 77,107,516.69
5. Step 5: Solve for x
   x = 77,107,516.69/9,856.94
6. Step 6: Final answer
   x = 7,822.66