Finding the Fourth Proportional to 6,754.56, 10,138.24 and 3,678.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,754.56 : 10,138.24 = 3,678.72 : x
2. Step 2: Convert to fraction form
   6,754.56/10,138.24 = 3,678.72/x
3. Step 3: Cross multiply
   6,754.56x = 10,138.24 × 3,678.72
4. Step 4: Simplify right side
   6,754.56x = 37,295,746.25
5. Step 5: Solve for x
   x = 37,295,746.25/6,754.56
6. Step 6: Final answer
   x = 5,521.57