Finding the Fourth Proportional to 7,146.42, 10,705.04 and 3,676.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,146.42 : 10,705.04 = 3,676.38 : x
2. Step 2: Convert to fraction form
   7,146.42/10,705.04 = 3,676.38/x
3. Step 3: Cross multiply
   7,146.42x = 10,705.04 × 3,676.38
4. Step 4: Simplify right side
   7,146.42x = 39,355,794.96
5. Step 5: Solve for x
   x = 39,355,794.96/7,146.42
6. Step 6: Final answer
   x = 5,507.06