Finding the Fourth Proportional to 5,821.82, 8,724.86 and 3,185.34

Step by Step Solution

1. Step 1: Write the proportion equation
   5,821.82 : 8,724.86 = 3,185.34 : x
2. Step 2: Convert to fraction form
   5,821.82/8,724.86 = 3,185.34/x
3. Step 3: Cross multiply
   5,821.82x = 8,724.86 × 3,185.34
4. Step 4: Simplify right side
   5,821.82x = 27,791,653.52
5. Step 5: Solve for x
   x = 27,791,653.52/5,821.82
6. Step 6: Final answer
   x = 4,773.71