Finding the Fourth Proportional to 11,648.29, 17,475.16 and 3,857.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,648.29 : 17,475.16 = 3,857.10 : x
2. Step 2: Convert to fraction form
   11,648.29/17,475.16 = 3,857.10/x
3. Step 3: Cross multiply
   11,648.29x = 17,475.16 × 3,857.10
4. Step 4: Simplify right side
   11,648.29x = 67,403,439.64
5. Step 5: Solve for x
   x = 67,403,439.64/11,648.29
6. Step 6: Final answer
   x = 5,786.55