Finding the Fourth Proportional to 3,768.41, 5,200.67 and 2,089.98

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.41 : 5,200.67 = 2,089.98 : x
2. Step 2: Convert to fraction form
   3,768.41/5,200.67 = 2,089.98/x
3. Step 3: Cross multiply
   3,768.41x = 5,200.67 × 2,089.98
4. Step 4: Simplify right side
   3,768.41x = 10,869,270.28
5. Step 5: Solve for x
   x = 10,869,270.28/3,768.41
6. Step 6: Final answer
   x = 2,884.31