Finding the Fourth Proportional to 6,909.63, 9,535.29 and 3,765.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,909.63 : 9,535.29 = 3,765.83 : x
2. Step 2: Convert to fraction form
   6,909.63/9,535.29 = 3,765.83/x
3. Step 3: Cross multiply
   6,909.63x = 9,535.29 × 3,765.83
4. Step 4: Simplify right side
   6,909.63x = 35,908,233.46
5. Step 5: Solve for x
   x = 35,908,233.46/6,909.63
6. Step 6: Final answer
   x = 5,196.84