Finding the Fourth Proportional to 1,462.86, 2,194.69 and 814.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.86 : 2,194.69 = 814.05 : x
2. Step 2: Convert to fraction form
   1,462.86/2,194.69 = 814.05/x
3. Step 3: Cross multiply
   1,462.86x = 2,194.69 × 814.05
4. Step 4: Simplify right side
   1,462.86x = 1,786,576.42
5. Step 5: Solve for x
   x = 1,786,576.42/1,462.86
6. Step 6: Final answer
   x = 1,221.29