Finding the Fourth Proportional to 3,830.20, 5,736.24 and 1,882.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,830.20 : 5,736.24 = 1,882.96 : x
2. Step 2: Convert to fraction form
   3,830.20/5,736.24 = 1,882.96/x
3. Step 3: Cross multiply
   3,830.20x = 5,736.24 × 1,882.96
4. Step 4: Simplify right side
   3,830.20x = 10,801,110.47
5. Step 5: Solve for x
   x = 10,801,110.47/3,830.20
6. Step 6: Final answer
   x = 2,819.99