Finding the Fourth Proportional to 9,506.67, 14,256.38 and 3,805.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,506.67 : 14,256.38 = 3,805.89 : x
2. Step 2: Convert to fraction form
   9,506.67/14,256.38 = 3,805.89/x
3. Step 3: Cross multiply
   9,506.67x = 14,256.38 × 3,805.89
4. Step 4: Simplify right side
   9,506.67x = 54,258,195.05
5. Step 5: Solve for x
   x = 54,258,195.05/9,506.67
6. Step 6: Final answer
   x = 5,707.38