Finding the Fourth Proportional to 1,446.27, 1,996.01 and 856.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.27 : 1,996.01 = 856.80 : x
2. Step 2: Convert to fraction form
   1,446.27/1,996.01 = 856.80/x
3. Step 3: Cross multiply
   1,446.27x = 1,996.01 × 856.80
4. Step 4: Simplify right side
   1,446.27x = 1,710,181.37
5. Step 5: Solve for x
   x = 1,710,181.37/1,446.27
6. Step 6: Final answer
   x = 1,182.48