Finding the Fourth Proportional to 1,412.09, 1,948.80 and 814.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.09 : 1,948.80 = 814.69 : x
2. Step 2: Convert to fraction form
   1,412.09/1,948.80 = 814.69/x
3. Step 3: Cross multiply
   1,412.09x = 1,948.80 × 814.69
4. Step 4: Simplify right side
   1,412.09x = 1,587,665.59
5. Step 5: Solve for x
   x = 1,587,665.59/1,412.09
6. Step 6: Final answer
   x = 1,124.34