Finding the Fourth Proportional to 1,499.80, 2,245.78 and 805.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,499.80 : 2,245.78 = 805.24 : x
2. Step 2: Convert to fraction form
   1,499.80/2,245.78 = 805.24/x
3. Step 3: Cross multiply
   1,499.80x = 2,245.78 × 805.24
4. Step 4: Simplify right side
   1,499.80x = 1,808,391.89
5. Step 5: Solve for x
   x = 1,808,391.89/1,499.80
6. Step 6: Final answer
   x = 1,205.76