Finding the Fourth Proportional to 2,533.25, 3,797.27 and 972.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.25 : 3,797.27 = 972.83 : x
2. Step 2: Convert to fraction form
   2,533.25/3,797.27 = 972.83/x
3. Step 3: Cross multiply
   2,533.25x = 3,797.27 × 972.83
4. Step 4: Simplify right side
   2,533.25x = 3,694,102.98
5. Step 5: Solve for x
   x = 3,694,102.98/2,533.25
6. Step 6: Final answer
   x = 1,458.25