Finding the Fourth Proportional to 1,490.30, 2,056.67 and 827.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.30 : 2,056.67 = 827.15 : x
2. Step 2: Convert to fraction form
   1,490.30/2,056.67 = 827.15/x
3. Step 3: Cross multiply
   1,490.30x = 2,056.67 × 827.15
4. Step 4: Simplify right side
   1,490.30x = 1,701,185.28
5. Step 5: Solve for x
   x = 1,701,185.28/1,490.30
6. Step 6: Final answer
   x = 1,141.51