Finding the Fourth Proportional to 11,758.14, 17,639.82 and 3,966.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,758.14 : 17,639.82 = 3,966.78 : x
2. Step 2: Convert to fraction form
   11,758.14/17,639.82 = 3,966.78/x
3. Step 3: Cross multiply
   11,758.14x = 17,639.82 × 3,966.78
4. Step 4: Simplify right side
   11,758.14x = 69,973,285.18
5. Step 5: Solve for x
   x = 69,973,285.18/11,758.14
6. Step 6: Final answer
   x = 5,951.05