Finding the Fourth Proportional to 1,462.32, 2,194.56 and 814.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.32 : 2,194.56 = 814.32 : x
2. Step 2: Convert to fraction form
   1,462.32/2,194.56 = 814.32/x
3. Step 3: Cross multiply
   1,462.32x = 2,194.56 × 814.32
4. Step 4: Simplify right side
   1,462.32x = 1,787,074.10
5. Step 5: Solve for x
   x = 1,787,074.10/1,462.32
6. Step 6: Final answer
   x = 1,222.08