Finding the Fourth Proportional to 3,768.15, 5,199.82 and 2,089.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.15 : 5,199.82 = 2,089.46 : x
2. Step 2: Convert to fraction form
   3,768.15/5,199.82 = 2,089.46/x
3. Step 3: Cross multiply
   3,768.15x = 5,199.82 × 2,089.46
4. Step 4: Simplify right side
   3,768.15x = 10,864,789.90
5. Step 5: Solve for x
   x = 10,864,789.90/3,768.15
6. Step 6: Final answer
   x = 2,883.32