Finding the Fourth Proportional to 6,333.56, 8,738.16 and 3,678.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,333.56 : 8,738.16 = 3,678.78 : x
2. Step 2: Convert to fraction form
   6,333.56/8,738.16 = 3,678.78/x
3. Step 3: Cross multiply
   6,333.56x = 8,738.16 × 3,678.78
4. Step 4: Simplify right side
   6,333.56x = 32,145,768.24
5. Step 5: Solve for x
   x = 32,145,768.24/6,333.56
6. Step 6: Final answer
   x = 5,075.47