Finding the Fourth Proportional to 9,642.63, 14,465.09 and 3,401.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642.63 : 14,465.09 = 3,401.34 : x
2. Step 2: Convert to fraction form
   9,642.63/14,465.09 = 3,401.34/x
3. Step 3: Cross multiply
   9,642.63x = 14,465.09 × 3,401.34
4. Step 4: Simplify right side
   9,642.63x = 49,200,672.21
5. Step 5: Solve for x
   x = 49,200,672.21/9,642.63
6. Step 6: Final answer
   x = 5,102.41