Finding the Fourth Proportional to 1,496.45, 2,243.59 and 765.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.45 : 2,243.59 = 765.47 : x
2. Step 2: Convert to fraction form
   1,496.45/2,243.59 = 765.47/x
3. Step 3: Cross multiply
   1,496.45x = 2,243.59 × 765.47
4. Step 4: Simplify right side
   1,496.45x = 1,717,385.79
5. Step 5: Solve for x
   x = 1,717,385.79/1,496.45
6. Step 6: Final answer
   x = 1,147.64