Finding the Fourth Proportional to 11,642.28, 17,466.64 and 3,856.56

Step by Step Solution

1. Step 1: Write the proportion equation
   11,642.28 : 17,466.64 = 3,856.56 : x
2. Step 2: Convert to fraction form
   11,642.28/17,466.64 = 3,856.56/x
3. Step 3: Cross multiply
   11,642.28x = 17,466.64 × 3,856.56
4. Step 4: Simplify right side
   11,642.28x = 67,361,145.16
5. Step 5: Solve for x
   x = 67,361,145.16/11,642.28
6. Step 6: Final answer
   x = 5,785.91