Finding the Fourth Proportional to 1,067.74, 1,602.56 and 759.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,067.74 : 1,602.56 = 759.94 : x
2. Step 2: Convert to fraction form
   1,067.74/1,602.56 = 759.94/x
3. Step 3: Cross multiply
   1,067.74x = 1,602.56 × 759.94
4. Step 4: Simplify right side
   1,067.74x = 1,217,849.45
5. Step 5: Solve for x
   x = 1,217,849.45/1,067.74
6. Step 6: Final answer
   x = 1,140.59