Finding the Fourth Proportional to 1,076.42, 1,485.01 and 827.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,076.42 : 1,485.01 = 827.30 : x
2. Step 2: Convert to fraction form
   1,076.42/1,485.01 = 827.30/x
3. Step 3: Cross multiply
   1,076.42x = 1,485.01 × 827.30
4. Step 4: Simplify right side
   1,076.42x = 1,228,548.77
5. Step 5: Solve for x
   x = 1,228,548.77/1,076.42
6. Step 6: Final answer
   x = 1,141.33