Finding the Fourth Proportional to 2,533.25, 3,801.56 and 974.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.25 : 3,801.56 = 974.54 : x
2. Step 2: Convert to fraction form
   2,533.25/3,801.56 = 974.54/x
3. Step 3: Cross multiply
   2,533.25x = 3,801.56 × 974.54
4. Step 4: Simplify right side
   2,533.25x = 3,704,772.28
5. Step 5: Solve for x
   x = 3,704,772.28/2,533.25
6. Step 6: Final answer
   x = 1,462.46