Finding the Fourth Proportional to 6,940.50, 9,577.89 and 3,796.71

Step by Step Solution

1. Step 1: Write the proportion equation
   6,940.50 : 9,577.89 = 3,796.71 : x
2. Step 2: Convert to fraction form
   6,940.50/9,577.89 = 3,796.71/x
3. Step 3: Cross multiply
   6,940.50x = 9,577.89 × 3,796.71
4. Step 4: Simplify right side
   6,940.50x = 36,364,470.74
5. Step 5: Solve for x
   x = 36,364,470.74/6,940.50
6. Step 6: Final answer
   x = 5,239.46