Finding the Fourth Proportional to 2,092.56, 3,133.80 and 1,224.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.56 : 3,133.80 = 1,224.24 : x
2. Step 2: Convert to fraction form
   2,092.56/3,133.80 = 1,224.24/x
3. Step 3: Cross multiply
   2,092.56x = 3,133.80 × 1,224.24
4. Step 4: Simplify right side
   2,092.56x = 3,836,523.31
5. Step 5: Solve for x
   x = 3,836,523.31/2,092.56
6. Step 6: Final answer
   x = 1,833.41