Finding the Fourth Proportional to 6,182.46, 8,531.73 and 3,824.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,182.46 : 8,531.73 = 3,824.82 : x
2. Step 2: Convert to fraction form
   6,182.46/8,531.73 = 3,824.82/x
3. Step 3: Cross multiply
   6,182.46x = 8,531.73 × 3,824.82
4. Step 4: Simplify right side
   6,182.46x = 32,632,331.54
5. Step 5: Solve for x
   x = 32,632,331.54/6,182.46
6. Step 6: Final answer
   x = 5,278.21