Finding the Fourth Proportional to 1,199.49, 1,796.22 and 759.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.49 : 1,796.22 = 759.42 : x
2. Step 2: Convert to fraction form
   1,199.49/1,796.22 = 759.42/x
3. Step 3: Cross multiply
   1,199.49x = 1,796.22 × 759.42
4. Step 4: Simplify right side
   1,199.49x = 1,364,085.39
5. Step 5: Solve for x
   x = 1,364,085.39/1,199.49
6. Step 6: Final answer
   x = 1,137.22