Finding the Fourth Proportional to 6,806.02, 9,392.86 and 3,822.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,806.02 : 9,392.86 = 3,822.06 : x
2. Step 2: Convert to fraction form
   6,806.02/9,392.86 = 3,822.06/x
3. Step 3: Cross multiply
   6,806.02x = 9,392.86 × 3,822.06
4. Step 4: Simplify right side
   6,806.02x = 35,900,074.49
5. Step 5: Solve for x
   x = 35,900,074.49/6,806.02
6. Step 6: Final answer
   x = 5,274.75