Finding the Fourth Proportional to 9,682.54, 14,458.04 and 9,420.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682.54 : 14,458.04 = 9,420.10 : x
2. Step 2: Convert to fraction form
   9,682.54/14,458.04 = 9,420.10/x
3. Step 3: Cross multiply
   9,682.54x = 14,458.04 × 9,420.10
4. Step 4: Simplify right side
   9,682.54x = 136,196,182.60
5. Step 5: Solve for x
   x = 136,196,182.60/9,682.54
6. Step 6: Final answer
   x = 14,066.16