Finding the Fourth Proportional to 11,768, 17,648.25 and 3,868.70

Step by Step Solution

1. Step 1: Write the proportion equation
   11,768 : 17,648.25 = 3,868.70 : x
2. Step 2: Convert to fraction form
   11,768/17,648.25 = 3,868.70/x
3. Step 3: Cross multiply
   11,768x = 17,648.25 × 3,868.70
4. Step 4: Simplify right side
   11,768x = 68,275,784.78
5. Step 5: Solve for x
   x = 68,275,784.78/11,768
6. Step 6: Final answer
   x = 5,801.82