Finding the Fourth Proportional to 1,490.47, 2,056.81 and 827.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.47 : 2,056.81 = 827.31 : x
2. Step 2: Convert to fraction form
   1,490.47/2,056.81 = 827.31/x
3. Step 3: Cross multiply
   1,490.47x = 2,056.81 × 827.31
4. Step 4: Simplify right side
   1,490.47x = 1,701,615.34
5. Step 5: Solve for x
   x = 1,701,615.34/1,490.47
6. Step 6: Final answer
   x = 1,141.67