Finding the Fourth Proportional to 9,667.86, 14,502.72 and 3,823.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.86 : 14,502.72 = 3,823.14 : x
2. Step 2: Convert to fraction form
   9,667.86/14,502.72 = 3,823.14/x
3. Step 3: Cross multiply
   9,667.86x = 14,502.72 × 3,823.14
4. Step 4: Simplify right side
   9,667.86x = 55,445,928.94
5. Step 5: Solve for x
   x = 55,445,928.94/9,667.86
6. Step 6: Final answer
   x = 5,735.08