Finding the Fourth Proportional to 6,909.75, 9,535.46 and 3,765.94

Step by Step Solution

1. Step 1: Write the proportion equation
   6,909.75 : 9,535.46 = 3,765.94 : x
2. Step 2: Convert to fraction form
   6,909.75/9,535.46 = 3,765.94/x
3. Step 3: Cross multiply
   6,909.75x = 9,535.46 × 3,765.94
4. Step 4: Simplify right side
   6,909.75x = 35,909,927.56
5. Step 5: Solve for x
   x = 35,909,927.56/6,909.75
6. Step 6: Final answer
   x = 5,196.99