Finding the Fourth Proportional to 6,476.34, 8,936.25 and 3,822.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,476.34 : 8,936.25 = 3,822.78 : x
2. Step 2: Convert to fraction form
   6,476.34/8,936.25 = 3,822.78/x
3. Step 3: Cross multiply
   6,476.34x = 8,936.25 × 3,822.78
4. Step 4: Simplify right side
   6,476.34x = 34,161,317.78
5. Step 5: Solve for x
   x = 34,161,317.78/6,476.34
6. Step 6: Final answer
   x = 5,274.79