Finding the Fourth Proportional to 1,494.57, 2,243.16 and 764.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,494.57 : 2,243.16 = 764.55 : x
2. Step 2: Convert to fraction form
   1,494.57/2,243.16 = 764.55/x
3. Step 3: Cross multiply
   1,494.57x = 2,243.16 × 764.55
4. Step 4: Simplify right side
   1,494.57x = 1,715,007.98
5. Step 5: Solve for x
   x = 1,715,007.98/1,494.57
6. Step 6: Final answer
   x = 1,147.49