Finding the Fourth Proportional to 5,109.73, 7,658.41 and 3,626.62

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.73 : 7,658.41 = 3,626.62 : x
2. Step 2: Convert to fraction form
   5,109.73/7,658.41 = 3,626.62/x
3. Step 3: Cross multiply
   5,109.73x = 7,658.41 × 3,626.62
4. Step 4: Simplify right side
   5,109.73x = 27,774,142.87
5. Step 5: Solve for x
   x = 27,774,142.87/5,109.73
6. Step 6: Final answer
   x = 5,435.54