Finding the Fourth Proportional to 1,291.62, 1,782.42 and 760.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,291.62 : 1,782.42 = 760.38 : x
2. Step 2: Convert to fraction form
   1,291.62/1,782.42 = 760.38/x
3. Step 3: Cross multiply
   1,291.62x = 1,782.42 × 760.38
4. Step 4: Simplify right side
   1,291.62x = 1,355,316.52
5. Step 5: Solve for x
   x = 1,355,316.52/1,291.62
6. Step 6: Final answer
   x = 1,049.32