Finding the Fourth Proportional to 1,498.17, 2,245.17 and 766.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,498.17 : 2,245.17 = 766.20 : x
2. Step 2: Convert to fraction form
   1,498.17/2,245.17 = 766.20/x
3. Step 3: Cross multiply
   1,498.17x = 2,245.17 × 766.20
4. Step 4: Simplify right side
   1,498.17x = 1,720,249.25
5. Step 5: Solve for x
   x = 1,720,249.25/1,498.17
6. Step 6: Final answer
   x = 1,148.23