Finding the Fourth Proportional to 1,490.24, 2,056.50 and 827.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,490.24 : 2,056.50 = 827.06 : x
2. Step 2: Convert to fraction form
   1,490.24/2,056.50 = 827.06/x
3. Step 3: Cross multiply
   1,490.24x = 2,056.50 × 827.06
4. Step 4: Simplify right side
   1,490.24x = 1,700,848.89
5. Step 5: Solve for x
   x = 1,700,848.89/1,490.24
6. Step 6: Final answer
   x = 1,141.33