Finding the Fourth Proportional to 3,760, 5,188.50 and 2,081.28

Step by Step Solution

1. Step 1: Write the proportion equation
   3,760 : 5,188.50 = 2,081.28 : x
2. Step 2: Convert to fraction form
   3,760/5,188.50 = 2,081.28/x
3. Step 3: Cross multiply
   3,760x = 5,188.50 × 2,081.28
4. Step 4: Simplify right side
   3,760x = 10,798,721.28
5. Step 5: Solve for x
   x = 10,798,721.28/3,760
6. Step 6: Final answer
   x = 2,872.00