Finding the Fourth Proportional to 3,768.17, 5,200.29 and 2,089.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.17 : 5,200.29 = 2,089.76 : x
2. Step 2: Convert to fraction form
   3,768.17/5,200.29 = 2,089.76/x
3. Step 3: Cross multiply
   3,768.17x = 5,200.29 × 2,089.76
4. Step 4: Simplify right side
   3,768.17x = 10,867,332.03
5. Step 5: Solve for x
   x = 10,867,332.03/3,768.17
6. Step 6: Final answer
   x = 2,883.99