Finding the Fourth Proportional to 1,446.10, 1,995.27 and 856.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.10 : 1,995.27 = 856.78 : x
2. Step 2: Convert to fraction form
   1,446.10/1,995.27 = 856.78/x
3. Step 3: Cross multiply
   1,446.10x = 1,995.27 × 856.78
4. Step 4: Simplify right side
   1,446.10x = 1,709,507.43
5. Step 5: Solve for x
   x = 1,709,507.43/1,446.10
6. Step 6: Final answer
   x = 1,182.15