Finding the Fourth Proportional to 11,144, 15,378.72 and 6,176

Step by Step Solution

1. Step 1: Write the proportion equation
   11,144 : 15,378.72 = 6,176 : x
2. Step 2: Convert to fraction form
   11,144/15,378.72 = 6,176/x
3. Step 3: Cross multiply
   11,144x = 15,378.72 × 6,176
4. Step 4: Simplify right side
   11,144x = 94,978,974.72
5. Step 5: Solve for x
   x = 94,978,974.72/11,144
6. Step 6: Final answer
   x = 8,522.88