Finding the Fourth Proportional to 1,490.32, 2,056.52 and 827.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.32 : 2,056.52 = 827.20 : x
2. Step 2: Convert to fraction form
   1,490.32/2,056.52 = 827.20/x
3. Step 3: Cross multiply
   1,490.32x = 2,056.52 × 827.20
4. Step 4: Simplify right side
   1,490.32x = 1,701,153.34
5. Step 5: Solve for x
   x = 1,701,153.34/1,490.32
6. Step 6: Final answer
   x = 1,141.47