Finding the Fourth Proportional to 3,768.33, 5,200.31 and 2,089.90

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.33 : 5,200.31 = 2,089.90 : x
2. Step 2: Convert to fraction form
   3,768.33/5,200.31 = 2,089.90/x
3. Step 3: Cross multiply
   3,768.33x = 5,200.31 × 2,089.90
4. Step 4: Simplify right side
   3,768.33x = 10,868,110.34
5. Step 5: Solve for x
   x = 10,868,110.34/3,768.33
6. Step 6: Final answer
   x = 2,884.06