Finding the Fourth Proportional to 9,641.25, 14,456.34 and 3,794.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,641.25 : 14,456.34 = 3,794.67 : x
2. Step 2: Convert to fraction form
   9,641.25/14,456.34 = 3,794.67/x
3. Step 3: Cross multiply
   9,641.25x = 14,456.34 × 3,794.67
4. Step 4: Simplify right side
   9,641.25x = 54,857,039.71
5. Step 5: Solve for x
   x = 54,857,039.71/9,641.25
6. Step 6: Final answer
   x = 5,689.83