Finding the Fourth Proportional to 6,687.89, 10,022.27 and 3,760.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,687.89 : 10,022.27 = 3,760.05 : x
2. Step 2: Convert to fraction form
   6,687.89/10,022.27 = 3,760.05/x
3. Step 3: Cross multiply
   6,687.89x = 10,022.27 × 3,760.05
4. Step 4: Simplify right side
   6,687.89x = 37,684,217.51
5. Step 5: Solve for x
   x = 37,684,217.51/6,687.89
6. Step 6: Final answer
   x = 5,634.70