Finding the Fourth Proportional to 1,496.91, 2,245.87 and 766.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.91 : 2,245.87 = 766.29 : x
2. Step 2: Convert to fraction form
   1,496.91/2,245.87 = 766.29/x
3. Step 3: Cross multiply
   1,496.91x = 2,245.87 × 766.29
4. Step 4: Simplify right side
   1,496.91x = 1,720,987.72
5. Step 5: Solve for x
   x = 1,720,987.72/1,496.91
6. Step 6: Final answer
   x = 1,149.69