Finding the Fourth Proportional to 6,805.20, 10,210.71 and 3,687.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,805.20 : 10,210.71 = 3,687.42 : x
2. Step 2: Convert to fraction form
   6,805.20/10,210.71 = 3,687.42/x
3. Step 3: Cross multiply
   6,805.20x = 10,210.71 × 3,687.42
4. Step 4: Simplify right side
   6,805.20x = 37,651,176.27
5. Step 5: Solve for x
   x = 37,651,176.27/6,805.20
6. Step 6: Final answer
   x = 5,532.71