Finding the Fourth Proportional to 3,827.24, 5,301.55 and 3,749.48

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.24 : 5,301.55 = 3,749.48 : x
2. Step 2: Convert to fraction form
   3,827.24/5,301.55 = 3,749.48/x
3. Step 3: Cross multiply
   3,827.24x = 5,301.55 × 3,749.48
4. Step 4: Simplify right side
   3,827.24x = 19,878,055.69
5. Step 5: Solve for x
   x = 19,878,055.69/3,827.24
6. Step 6: Final answer
   x = 5,193.84