Finding the Fourth Proportional to 3,828.24, 5,742.50 and 1,362.15

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828.24 : 5,742.50 = 1,362.15 : x
2. Step 2: Convert to fraction form
   3,828.24/5,742.50 = 1,362.15/x
3. Step 3: Cross multiply
   3,828.24x = 5,742.50 × 1,362.15
4. Step 4: Simplify right side
   3,828.24x = 7,822,139.56
5. Step 5: Solve for x
   x = 7,822,139.56/3,828.24
6. Step 6: Final answer
   x = 2,043.27