Finding the Fourth Proportional to 1,496.22, 2,245.72 and 766.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.22 : 2,245.72 = 766.32 : x
2. Step 2: Convert to fraction form
   1,496.22/2,245.72 = 766.32/x
3. Step 3: Cross multiply
   1,496.22x = 2,245.72 × 766.32
4. Step 4: Simplify right side
   1,496.22x = 1,720,940.15
5. Step 5: Solve for x
   x = 1,720,940.15/1,496.22
6. Step 6: Final answer
   x = 1,150.19