Finding the Fourth Proportional to 11,648.16, 17,471.52 and 3,857.76

Step by Step Solution

1. Step 1: Write the proportion equation
   11,648.16 : 17,471.52 = 3,857.76 : x
2. Step 2: Convert to fraction form
   11,648.16/17,471.52 = 3,857.76/x
3. Step 3: Cross multiply
   11,648.16x = 17,471.52 × 3,857.76
4. Step 4: Simplify right side
   11,648.16x = 67,400,931.00
5. Step 5: Solve for x
   x = 67,400,931.00/11,648.16
6. Step 6: Final answer
   x = 5,786.40