Finding the Fourth Proportional to 3,680.23, 5,514.58 and 1,828.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,680.23 : 5,514.58 = 1,828.57 : x
2. Step 2: Convert to fraction form
   3,680.23/5,514.58 = 1,828.57/x
3. Step 3: Cross multiply
   3,680.23x = 5,514.58 × 1,828.57
4. Step 4: Simplify right side
   3,680.23x = 10,083,795.55
5. Step 5: Solve for x
   x = 10,083,795.55/3,680.23
6. Step 6: Final answer
   x = 2,739.99