Finding the Fourth Proportional to 3,743.36, 5,165.86 and 2,064.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,743.36 : 5,165.86 = 2,064.82 : x
2. Step 2: Convert to fraction form
   3,743.36/5,165.86 = 2,064.82/x
3. Step 3: Cross multiply
   3,743.36x = 5,165.86 × 2,064.82
4. Step 4: Simplify right side
   3,743.36x = 10,666,571.05
5. Step 5: Solve for x
   x = 10,666,571.05/3,743.36
6. Step 6: Final answer
   x = 2,849.46