Finding the Fourth Proportional to 9,429.96, 14,146.69 and 3,105.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,429.96 : 14,146.69 = 3,105.20 : x
2. Step 2: Convert to fraction form
   9,429.96/14,146.69 = 3,105.20/x
3. Step 3: Cross multiply
   9,429.96x = 14,146.69 × 3,105.20
4. Step 4: Simplify right side
   9,429.96x = 43,928,271.17
5. Step 5: Solve for x
   x = 43,928,271.17/9,429.96
6. Step 6: Final answer
   x = 4,658.37