Finding the Fourth Proportional to 1,490.36, 2,056.72 and 827.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.36 : 2,056.72 = 827.24 : x
2. Step 2: Convert to fraction form
   1,490.36/2,056.72 = 827.24/x
3. Step 3: Cross multiply
   1,490.36x = 2,056.72 × 827.24
4. Step 4: Simplify right side
   1,490.36x = 1,701,401.05
5. Step 5: Solve for x
   x = 1,701,401.05/1,490.36
6. Step 6: Final answer
   x = 1,141.60