Finding the Fourth Proportional to 1,446.50, 1,996.20 and 856.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.50 : 1,996.20 = 856.82 : x
2. Step 2: Convert to fraction form
   1,446.50/1,996.20 = 856.82/x
3. Step 3: Cross multiply
   1,446.50x = 1,996.20 × 856.82
4. Step 4: Simplify right side
   1,446.50x = 1,710,384.08
5. Step 5: Solve for x
   x = 1,710,384.08/1,446.50
6. Step 6: Final answer
   x = 1,182.43