Finding the Fourth Proportional to 11,648.34, 17,472.78 and 3,857.76

Step by Step Solution

1. Step 1: Write the proportion equation
   11,648.34 : 17,472.78 = 3,857.76 : x
2. Step 2: Convert to fraction form
   11,648.34/17,472.78 = 3,857.76/x
3. Step 3: Cross multiply
   11,648.34x = 17,472.78 × 3,857.76
4. Step 4: Simplify right side
   11,648.34x = 67,405,791.77
5. Step 5: Solve for x
   x = 67,405,791.77/11,648.34
6. Step 6: Final answer
   x = 5,786.73