Finding the Fourth Proportional to 3,768.31, 5,200.16 and 2,089.67

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.31 : 5,200.16 = 2,089.67 : x
2. Step 2: Convert to fraction form
   3,768.31/5,200.16 = 2,089.67/x
3. Step 3: Cross multiply
   3,768.31x = 5,200.16 × 2,089.67
4. Step 4: Simplify right side
   3,768.31x = 10,866,607.90
5. Step 5: Solve for x
   x = 10,866,607.90/3,768.31
6. Step 6: Final answer
   x = 2,883.69