Finding the Fourth Proportional to 1,490.46, 2,056.69 and 827.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.46 : 2,056.69 = 827.30 : x
2. Step 2: Convert to fraction form
   1,490.46/2,056.69 = 827.30/x
3. Step 3: Cross multiply
   1,490.46x = 2,056.69 × 827.30
4. Step 4: Simplify right side
   1,490.46x = 1,701,502.92
5. Step 5: Solve for x
   x = 1,701,502.92/1,490.46
6. Step 6: Final answer
   x = 1,141.59