Finding the Fourth Proportional to 9,401.97, 14,099.70 and 3,853.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.97 : 14,099.70 = 3,853.74 : x
2. Step 2: Convert to fraction form
   9,401.97/14,099.70 = 3,853.74/x
3. Step 3: Cross multiply
   9,401.97x = 14,099.70 × 3,853.74
4. Step 4: Simplify right side
   9,401.97x = 54,336,577.88
5. Step 5: Solve for x
   x = 54,336,577.88/9,401.97
6. Step 6: Final answer
   x = 5,779.28