Finding the Fourth Proportional to 9,645.79, 14,468.80 and 3,401.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.79 : 14,468.80 = 3,401.42 : x
2. Step 2: Convert to fraction form
   9,645.79/14,468.80 = 3,401.42/x
3. Step 3: Cross multiply
   9,645.79x = 14,468.80 × 3,401.42
4. Step 4: Simplify right side
   9,645.79x = 49,214,425.27
5. Step 5: Solve for x
   x = 49,214,425.27/9,645.79
6. Step 6: Final answer
   x = 5,102.17