Finding the Fourth Proportional to 9,667.94, 14,506.79 and 3,829.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.94 : 14,506.79 = 3,829.46 : x
2. Step 2: Convert to fraction form
   9,667.94/14,506.79 = 3,829.46/x
3. Step 3: Cross multiply
   9,667.94x = 14,506.79 × 3,829.46
4. Step 4: Simplify right side
   9,667.94x = 55,553,080.35
5. Step 5: Solve for x
   x = 55,553,080.35/9,667.94
6. Step 6: Final answer
   x = 5,746.12