Finding the Fourth Proportional to 11,619.24, 17,431.42 and 3,827.72

Step by Step Solution

1. Step 1: Write the proportion equation
   11,619.24 : 17,431.42 = 3,827.72 : x
2. Step 2: Convert to fraction form
   11,619.24/17,431.42 = 3,827.72/x
3. Step 3: Cross multiply
   11,619.24x = 17,431.42 × 3,827.72
4. Step 4: Simplify right side
   11,619.24x = 66,722,594.96
5. Step 5: Solve for x
   x = 66,722,594.96/11,619.24
6. Step 6: Final answer
   x = 5,742.42