Finding the Fourth Proportional to 3,896.52, 5,844.74 and 974.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,896.52 : 5,844.74 = 974.82 : x
2. Step 2: Convert to fraction form
   3,896.52/5,844.74 = 974.82/x
3. Step 3: Cross multiply
   3,896.52x = 5,844.74 × 974.82
4. Step 4: Simplify right side
   3,896.52x = 5,697,569.45
5. Step 5: Solve for x
   x = 5,697,569.45/3,896.52
6. Step 6: Final answer
   x = 1,462.22