Finding the Fourth Proportional to 3,789.21, 5,662.69 and 3,578.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,789.21 : 5,662.69 = 3,578.61 : x
2. Step 2: Convert to fraction form
   3,789.21/5,662.69 = 3,578.61/x
3. Step 3: Cross multiply
   3,789.21x = 5,662.69 × 3,578.61
4. Step 4: Simplify right side
   3,789.21x = 20,264,559.06
5. Step 5: Solve for x
   x = 20,264,559.06/3,789.21
6. Step 6: Final answer
   x = 5,347.96