Finding the Fourth Proportional to 3,768.21, 5,199.89 and 2,089.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.21 : 5,199.89 = 2,089.52 : x
2. Step 2: Convert to fraction form
   3,768.21/5,199.89 = 2,089.52/x
3. Step 3: Cross multiply
   3,768.21x = 5,199.89 × 2,089.52
4. Step 4: Simplify right side
   3,768.21x = 10,865,274.15
5. Step 5: Solve for x
   x = 10,865,274.15/3,768.21
6. Step 6: Final answer
   x = 2,883.40