Finding the Fourth Proportional to 3,743.59, 5,166.18 and 2,065.05

Step by Step Solution

1. Step 1: Write the proportion equation
   3,743.59 : 5,166.18 = 2,065.05 : x
2. Step 2: Convert to fraction form
   3,743.59/5,166.18 = 2,065.05/x
3. Step 3: Cross multiply
   3,743.59x = 5,166.18 × 2,065.05
4. Step 4: Simplify right side
   3,743.59x = 10,668,399.34
5. Step 5: Solve for x
   x = 10,668,399.34/3,743.59
6. Step 6: Final answer
   x = 2,849.78