Finding the Fourth Proportional to 6,185.25, 8,535.69 and 3,828.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,185.25 : 8,535.69 = 3,828.78 : x
2. Step 2: Convert to fraction form
   6,185.25/8,535.69 = 3,828.78/x
3. Step 3: Cross multiply
   6,185.25x = 8,535.69 × 3,828.78
4. Step 4: Simplify right side
   6,185.25x = 32,681,279.16
5. Step 5: Solve for x
   x = 32,681,279.16/6,185.25
6. Step 6: Final answer
   x = 5,283.74