Finding the Fourth Proportional to 3,760.02, 5,188.64 and 2,081.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,760.02 : 5,188.64 = 2,081.38 : x
2. Step 2: Convert to fraction form
   3,760.02/5,188.64 = 2,081.38/x
3. Step 3: Cross multiply
   3,760.02x = 5,188.64 × 2,081.38
4. Step 4: Simplify right side
   3,760.02x = 10,799,531.52
5. Step 5: Solve for x
   x = 10,799,531.52/3,760.02
6. Step 6: Final answer
   x = 2,872.20