Finding the Fourth Proportional to 6,185.46, 8,538.42 and 4,299.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,185.46 : 8,538.42 = 4,299.78 : x
2. Step 2: Convert to fraction form
   6,185.46/8,538.42 = 4,299.78/x
3. Step 3: Cross multiply
   6,185.46x = 8,538.42 × 4,299.78
4. Step 4: Simplify right side
   6,185.46x = 36,713,327.55
5. Step 5: Solve for x
   x = 36,713,327.55/6,185.46
6. Step 6: Final answer
   x = 5,935.42