Finding the Fourth Proportional to 6,196.42, 8,548.27 and 3,678.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196.42 : 8,548.27 = 3,678.63 : x
2. Step 2: Convert to fraction form
   6,196.42/8,548.27 = 3,678.63/x
3. Step 3: Cross multiply
   6,196.42x = 8,548.27 × 3,678.63
4. Step 4: Simplify right side
   6,196.42x = 31,445,922.47
5. Step 5: Solve for x
   x = 31,445,922.47/6,196.42
6. Step 6: Final answer
   x = 5,074.85