Finding the Fourth Proportional to 1,496.34, 2,244.69 and 765.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.34 : 2,244.69 = 765.72 : x
2. Step 2: Convert to fraction form
   1,496.34/2,244.69 = 765.72/x
3. Step 3: Cross multiply
   1,496.34x = 2,244.69 × 765.72
4. Step 4: Simplify right side
   1,496.34x = 1,718,804.03
5. Step 5: Solve for x
   x = 1,718,804.03/1,496.34
6. Step 6: Final answer
   x = 1,148.67