Finding the Fourth Proportional to 1,490.45, 2,056.82 and 827.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.45 : 2,056.82 = 827.31 : x
2. Step 2: Convert to fraction form
   1,490.45/2,056.82 = 827.31/x
3. Step 3: Cross multiply
   1,490.45x = 2,056.82 × 827.31
4. Step 4: Simplify right side
   1,490.45x = 1,701,623.62
5. Step 5: Solve for x
   x = 1,701,623.62/1,490.45
6. Step 6: Final answer
   x = 1,141.69