Finding the Fourth Proportional to 6,820.22, 9,412.38 and 3,836.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,820.22 : 9,412.38 = 3,836.34 : x
2. Step 2: Convert to fraction form
   6,820.22/9,412.38 = 3,836.34/x
3. Step 3: Cross multiply
   6,820.22x = 9,412.38 × 3,836.34
4. Step 4: Simplify right side
   6,820.22x = 36,109,089.89
5. Step 5: Solve for x
   x = 36,109,089.89/6,820.22
6. Step 6: Final answer
   x = 5,294.42