Finding the Fourth Proportional to 3,768.12, 5,199.75 and 2,089.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.12 : 5,199.75 = 2,089.46 : x
2. Step 2: Convert to fraction form
   3,768.12/5,199.75 = 2,089.46/x
3. Step 3: Cross multiply
   3,768.12x = 5,199.75 × 2,089.46
4. Step 4: Simplify right side
   3,768.12x = 10,864,689.59
5. Step 5: Solve for x
   x = 10,864,689.59/3,768.12
6. Step 6: Final answer
   x = 2,883.32