Finding the Fourth Proportional to 1,490.56, 2,056.96 and 827.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.56 : 2,056.96 = 827.42 : x
2. Step 2: Convert to fraction form
   1,490.56/2,056.96 = 827.42/x
3. Step 3: Cross multiply
   1,490.56x = 2,056.96 × 827.42
4. Step 4: Simplify right side
   1,490.56x = 1,701,969.84
5. Step 5: Solve for x
   x = 1,701,969.84/1,490.56
6. Step 6: Final answer
   x = 1,141.83