Finding the Fourth Proportional to 2,533.82, 3,782.38 and 2,189.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.82 : 3,782.38 = 2,189.36 : x
2. Step 2: Convert to fraction form
   2,533.82/3,782.38 = 2,189.36/x
3. Step 3: Cross multiply
   2,533.82x = 3,782.38 × 2,189.36
4. Step 4: Simplify right side
   2,533.82x = 8,280,991.48
5. Step 5: Solve for x
   x = 8,280,991.48/2,533.82
6. Step 6: Final answer
   x = 3,268.19