Finding the Fourth Proportional to 2,523.36, 3,780.24 and 1,424.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.36 : 3,780.24 = 1,424.40 : x
2. Step 2: Convert to fraction form
   2,523.36/3,780.24 = 1,424.40/x
3. Step 3: Cross multiply
   2,523.36x = 3,780.24 × 1,424.40
4. Step 4: Simplify right side
   2,523.36x = 5,384,573.86
5. Step 5: Solve for x
   x = 5,384,573.86/2,523.36
6. Step 6: Final answer
   x = 2,133.89