Finding the Fourth Proportional to 1,410.20, 1,945.83 and 812.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.20 : 1,945.83 = 812.56 : x
2. Step 2: Convert to fraction form
   1,410.20/1,945.83 = 812.56/x
3. Step 3: Cross multiply
   1,410.20x = 1,945.83 × 812.56
4. Step 4: Simplify right side
   1,410.20x = 1,581,098.76
5. Step 5: Solve for x
   x = 1,581,098.76/1,410.20
6. Step 6: Final answer
   x = 1,121.19