Finding the Fourth Proportional to 6,820.76, 9,412.56 and 3,836.59

Step by Step Solution

1. Step 1: Write the proportion equation
   6,820.76 : 9,412.56 = 3,836.59 : x
2. Step 2: Convert to fraction form
   6,820.76/9,412.56 = 3,836.59/x
3. Step 3: Cross multiply
   6,820.76x = 9,412.56 × 3,836.59
4. Step 4: Simplify right side
   6,820.76x = 36,112,086.51
5. Step 5: Solve for x
   x = 36,112,086.51/6,820.76
6. Step 6: Final answer
   x = 5,294.44