Finding the Fourth Proportional to 6,182.31, 8,532.05 and 3,825.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,182.31 : 8,532.05 = 3,825.82 : x
2. Step 2: Convert to fraction form
   6,182.31/8,532.05 = 3,825.82/x
3. Step 3: Cross multiply
   6,182.31x = 8,532.05 × 3,825.82
4. Step 4: Simplify right side
   6,182.31x = 32,642,087.53
5. Step 5: Solve for x
   x = 32,642,087.53/6,182.31
6. Step 6: Final answer
   x = 5,279.92