Finding the Fourth Proportional to 1,414.40, 2,123.42 and 765.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.40 : 2,123.42 = 765.59 : x
2. Step 2: Convert to fraction form
   1,414.40/2,123.42 = 765.59/x
3. Step 3: Cross multiply
   1,414.40x = 2,123.42 × 765.59
4. Step 4: Simplify right side
   1,414.40x = 1,625,668.38
5. Step 5: Solve for x
   x = 1,625,668.38/1,414.40
6. Step 6: Final answer
   x = 1,149.37