Finding the Fourth Proportional to 6,333.16, 8,738.98 and 3,538.60

Step by Step Solution

1. Step 1: Write the proportion equation
   6,333.16 : 8,738.98 = 3,538.60 : x
2. Step 2: Convert to fraction form
   6,333.16/8,738.98 = 3,538.60/x
3. Step 3: Cross multiply
   6,333.16x = 8,738.98 × 3,538.60
4. Step 4: Simplify right side
   6,333.16x = 30,923,754.63
5. Step 5: Solve for x
   x = 30,923,754.63/6,333.16
6. Step 6: Final answer
   x = 4,882.83