Finding the Fourth Proportional to 1,412.01, 1,948.31 and 814.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.01 : 1,948.31 = 814.40 : x
2. Step 2: Convert to fraction form
   1,412.01/1,948.31 = 814.40/x
3. Step 3: Cross multiply
   1,412.01x = 1,948.31 × 814.40
4. Step 4: Simplify right side
   1,412.01x = 1,586,703.66
5. Step 5: Solve for x
   x = 1,586,703.66/1,412.01
6. Step 6: Final answer
   x = 1,123.72