Finding the Fourth Proportional to 2,533.56, 3,804.80 and 1,440.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.56 : 3,804.80 = 1,440.08 : x
2. Step 2: Convert to fraction form
   2,533.56/3,804.80 = 1,440.08/x
3. Step 3: Cross multiply
   2,533.56x = 3,804.80 × 1,440.08
4. Step 4: Simplify right side
   2,533.56x = 5,479,216.38
5. Step 5: Solve for x
   x = 5,479,216.38/2,533.56
6. Step 6: Final answer
   x = 2,162.66