Finding the Fourth Proportional to 5,732.82, 7,906.98 and 3,846.51

Step by Step Solution

1. Step 1: Write the proportion equation
   5,732.82 : 7,906.98 = 3,846.51 : x
2. Step 2: Convert to fraction form
   5,732.82/7,906.98 = 3,846.51/x
3. Step 3: Cross multiply
   5,732.82x = 7,906.98 × 3,846.51
4. Step 4: Simplify right side
   5,732.82x = 30,414,277.64
5. Step 5: Solve for x
   x = 30,414,277.64/5,732.82
6. Step 6: Final answer
   x = 5,305.29