Finding the Fourth Proportional to 11,166.51, 16,738.06 and 3,768.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,166.51 : 16,738.06 = 3,768.42 : x
2. Step 2: Convert to fraction form
   11,166.51/16,738.06 = 3,768.42/x
3. Step 3: Cross multiply
   11,166.51x = 16,738.06 × 3,768.42
4. Step 4: Simplify right side
   11,166.51x = 63,076,040.07
5. Step 5: Solve for x
   x = 63,076,040.07/11,166.51
6. Step 6: Final answer
   x = 5,648.68