Finding the Fourth Proportional to 6,839.32, 9,435.18 and 4,185.76

Step by Step Solution

1. Step 1: Write the proportion equation
   6,839.32 : 9,435.18 = 4,185.76 : x
2. Step 2: Convert to fraction form
   6,839.32/9,435.18 = 4,185.76/x
3. Step 3: Cross multiply
   6,839.32x = 9,435.18 × 4,185.76
4. Step 4: Simplify right side
   6,839.32x = 39,493,399.04
5. Step 5: Solve for x
   x = 39,493,399.04/6,839.32
6. Step 6: Final answer
   x = 5,774.46