Finding the Fourth Proportional to 1,490.52, 2,056.81 and 827.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.52 : 2,056.81 = 827.40 : x
2. Step 2: Convert to fraction form
   1,490.52/2,056.81 = 827.40/x
3. Step 3: Cross multiply
   1,490.52x = 2,056.81 × 827.40
4. Step 4: Simplify right side
   1,490.52x = 1,701,804.59
5. Step 5: Solve for x
   x = 1,701,804.59/1,490.52
6. Step 6: Final answer
   x = 1,141.75