Finding the Fourth Proportional to 3,778.83, 5,638.14 and 3,382.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778.83 : 5,638.14 = 3,382.47 : x
2. Step 2: Convert to fraction form
   3,778.83/5,638.14 = 3,382.47/x
3. Step 3: Cross multiply
   3,778.83x = 5,638.14 × 3,382.47
4. Step 4: Simplify right side
   3,778.83x = 19,070,839.41
5. Step 5: Solve for x
   x = 19,070,839.41/3,778.83
6. Step 6: Final answer
   x = 5,046.76