Finding the Fourth Proportional to 1,412.54, 1,949.20 and 814.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.54 : 1,949.20 = 814.61 : x
2. Step 2: Convert to fraction form
   1,412.54/1,949.20 = 814.61/x
3. Step 3: Cross multiply
   1,412.54x = 1,949.20 × 814.61
4. Step 4: Simplify right side
   1,412.54x = 1,587,833.12
5. Step 5: Solve for x
   x = 1,587,833.12/1,412.54
6. Step 6: Final answer
   x = 1,124.10