Finding the Fourth Proportional to 5,105.10, 7,662.45 and 2,641.62

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.10 : 7,662.45 = 2,641.62 : x
2. Step 2: Convert to fraction form
   5,105.10/7,662.45 = 2,641.62/x
3. Step 3: Cross multiply
   5,105.10x = 7,662.45 × 2,641.62
4. Step 4: Simplify right side
   5,105.10x = 20,241,281.17
5. Step 5: Solve for x
   x = 20,241,281.17/5,105.10
6. Step 6: Final answer
   x = 3,964.91