Finding the Fourth Proportional to 3,897.76, 5,846.82 and 976.09

Step by Step Solution

1. Step 1: Write the proportion equation
   3,897.76 : 5,846.82 = 976.09 : x
2. Step 2: Convert to fraction form
   3,897.76/5,846.82 = 976.09/x
3. Step 3: Cross multiply
   3,897.76x = 5,846.82 × 976.09
4. Step 4: Simplify right side
   3,897.76x = 5,707,022.53
5. Step 5: Solve for x
   x = 5,707,022.53/3,897.76
6. Step 6: Final answer
   x = 1,464.18