Finding the Fourth Proportional to 9,667.32, 14,498.09 and 3,091.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.32 : 14,498.09 = 3,091.74 : x
2. Step 2: Convert to fraction form
   9,667.32/14,498.09 = 3,091.74/x
3. Step 3: Cross multiply
   9,667.32x = 14,498.09 × 3,091.74
4. Step 4: Simplify right side
   9,667.32x = 44,824,266.54
5. Step 5: Solve for x
   x = 44,824,266.54/9,667.32
6. Step 6: Final answer
   x = 4,636.68