Finding the Fourth Proportional to 9,667.35, 14,496.98 and 3,091.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.35 : 14,496.98 = 3,091.77 : x
2. Step 2: Convert to fraction form
   9,667.35/14,496.98 = 3,091.77/x
3. Step 3: Cross multiply
   9,667.35x = 14,496.98 × 3,091.77
4. Step 4: Simplify right side
   9,667.35x = 44,821,312.40
5. Step 5: Solve for x
   x = 44,821,312.40/9,667.35
6. Step 6: Final answer
   x = 4,636.36