Finding the Fourth Proportional to 3,827.56, 5,743.50 and 3,798.28

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.56 : 5,743.50 = 3,798.28 : x
2. Step 2: Convert to fraction form
   3,827.56/5,743.50 = 3,798.28/x
3. Step 3: Cross multiply
   3,827.56x = 5,743.50 × 3,798.28
4. Step 4: Simplify right side
   3,827.56x = 21,815,421.18
5. Step 5: Solve for x
   x = 21,815,421.18/3,827.56
6. Step 6: Final answer
   x = 5,699.56