Finding the Fourth Proportional to 3,872, 5,810.56 and 1,820.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,872 : 5,810.56 = 1,820.16 : x
2. Step 2: Convert to fraction form
   3,872/5,810.56 = 1,820.16/x
3. Step 3: Cross multiply
   3,872x = 5,810.56 × 1,820.16
4. Step 4: Simplify right side
   3,872x = 10,576,148.89
5. Step 5: Solve for x
   x = 10,576,148.89/3,872
6. Step 6: Final answer
   x = 2,731.44