Finding the Fourth Proportional to 3,805.67, 5,682.13 and 3,768.21

Step by Step Solution

1. Step 1: Write the proportion equation
   3,805.67 : 5,682.13 = 3,768.21 : x
2. Step 2: Convert to fraction form
   3,805.67/5,682.13 = 3,768.21/x
3. Step 3: Cross multiply
   3,805.67x = 5,682.13 × 3,768.21
4. Step 4: Simplify right side
   3,805.67x = 21,411,449.67
5. Step 5: Solve for x
   x = 21,411,449.67/3,805.67
6. Step 6: Final answer
   x = 5,626.19