Finding the Fourth Proportional to 3,744.00, 5,166.81 and 2,065.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,744.00 : 5,166.81 = 2,065.42 : x
2. Step 2: Convert to fraction form
   3,744.00/5,166.81 = 2,065.42/x
3. Step 3: Cross multiply
   3,744.00x = 5,166.81 × 2,065.42
4. Step 4: Simplify right side
   3,744.00x = 10,671,659.51
5. Step 5: Solve for x
   x = 10,671,659.51/3,744.00
6. Step 6: Final answer
   x = 2,850.34