Finding the Fourth Proportional to 6,194.62, 8,549.82 and 3,678.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,194.62 : 8,549.82 = 3,678.10 : x
2. Step 2: Convert to fraction form
   6,194.62/8,549.82 = 3,678.10/x
3. Step 3: Cross multiply
   6,194.62x = 8,549.82 × 3,678.10
4. Step 4: Simplify right side
   6,194.62x = 31,447,092.94
5. Step 5: Solve for x
   x = 31,447,092.94/6,194.62
6. Step 6: Final answer
   x = 5,076.52