Finding the Fourth Proportional to 3,727.69, 5,141.86 and 2,234.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,727.69 : 5,141.86 = 2,234.59 : x
2. Step 2: Convert to fraction form
   3,727.69/5,141.86 = 2,234.59/x
3. Step 3: Cross multiply
   3,727.69x = 5,141.86 × 2,234.59
4. Step 4: Simplify right side
   3,727.69x = 11,489,948.94
5. Step 5: Solve for x
   x = 11,489,948.94/3,727.69
6. Step 6: Final answer
   x = 3,082.32