Finding the Fourth Proportional to 1,490.25, 2,056.55 and 827.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.25 : 2,056.55 = 827.21 : x
2. Step 2: Convert to fraction form
   1,490.25/2,056.55 = 827.21/x
3. Step 3: Cross multiply
   1,490.25x = 2,056.55 × 827.21
4. Step 4: Simplify right side
   1,490.25x = 1,701,184.31
5. Step 5: Solve for x
   x = 1,701,184.31/1,490.25
6. Step 6: Final answer
   x = 1,141.54