Finding the Fourth Proportional to 1,200.10, 1,797.27 and 814.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.10 : 1,797.27 = 814.18 : x
2. Step 2: Convert to fraction form
   1,200.10/1,797.27 = 814.18/x
3. Step 3: Cross multiply
   1,200.10x = 1,797.27 × 814.18
4. Step 4: Simplify right side
   1,200.10x = 1,463,301.29
5. Step 5: Solve for x
   x = 1,463,301.29/1,200.10
6. Step 6: Final answer
   x = 1,219.32