Finding the Fourth Proportional to 1,490.41, 2,056.63 and 827.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.41 : 2,056.63 = 827.31 : x
2. Step 2: Convert to fraction form
   1,490.41/2,056.63 = 827.31/x
3. Step 3: Cross multiply
   1,490.41x = 2,056.63 × 827.31
4. Step 4: Simplify right side
   1,490.41x = 1,701,470.57
5. Step 5: Solve for x
   x = 1,701,470.57/1,490.41
6. Step 6: Final answer
   x = 1,141.61