Finding the Fourth Proportional to 6,333.59, 8,738.21 and 3,678.81

Step by Step Solution

1. Step 1: Write the proportion equation
   6,333.59 : 8,738.21 = 3,678.81 : x
2. Step 2: Convert to fraction form
   6,333.59/8,738.21 = 3,678.81/x
3. Step 3: Cross multiply
   6,333.59x = 8,738.21 × 3,678.81
4. Step 4: Simplify right side
   6,333.59x = 32,146,214.33
5. Step 5: Solve for x
   x = 32,146,214.33/6,333.59
6. Step 6: Final answer
   x = 5,075.52