Finding the Fourth Proportional to 1,452.40, 2,174.72 and 766.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,452.40 : 2,174.72 = 766.96 : x
2. Step 2: Convert to fraction form
   1,452.40/2,174.72 = 766.96/x
3. Step 3: Cross multiply
   1,452.40x = 2,174.72 × 766.96
4. Step 4: Simplify right side
   1,452.40x = 1,667,923.25
5. Step 5: Solve for x
   x = 1,667,923.25/1,452.40
6. Step 6: Final answer
   x = 1,148.39