Finding the Fourth Proportional to 11,166.65, 16,738.32 and 3,768.56

Step by Step Solution

1. Step 1: Write the proportion equation
   11,166.65 : 16,738.32 = 3,768.56 : x
2. Step 2: Convert to fraction form
   11,166.65/16,738.32 = 3,768.56/x
3. Step 3: Cross multiply
   11,166.65x = 16,738.32 × 3,768.56
4. Step 4: Simplify right side
   11,166.65x = 63,079,363.22
5. Step 5: Solve for x
   x = 63,079,363.22/11,166.65
6. Step 6: Final answer
   x = 5,648.91