Finding the Fourth Proportional to 5,164.69, 7,738.50 and 2,695.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,164.69 : 7,738.50 = 2,695.81 : x
2. Step 2: Convert to fraction form
   5,164.69/7,738.50 = 2,695.81/x
3. Step 3: Cross multiply
   5,164.69x = 7,738.50 × 2,695.81
4. Step 4: Simplify right side
   5,164.69x = 20,861,525.69
5. Step 5: Solve for x
   x = 20,861,525.69/5,164.69
6. Step 6: Final answer
   x = 4,039.26