Finding the Fourth Proportional to 3,905.82, 5,855.42 and 1,824.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,905.82 : 5,855.42 = 1,824.72 : x
2. Step 2: Convert to fraction form
   3,905.82/5,855.42 = 1,824.72/x
3. Step 3: Cross multiply
   3,905.82x = 5,855.42 × 1,824.72
4. Step 4: Simplify right side
   3,905.82x = 10,684,501.98
5. Step 5: Solve for x
   x = 10,684,501.98/3,905.82
6. Step 6: Final answer
   x = 2,735.53