Finding the Fourth Proportional to 1,463.62, 2,019.79 and 825.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.62 : 2,019.79 = 825.56 : x
2. Step 2: Convert to fraction form
   1,463.62/2,019.79 = 825.56/x
3. Step 3: Cross multiply
   1,463.62x = 2,019.79 × 825.56
4. Step 4: Simplify right side
   1,463.62x = 1,667,462.88
5. Step 5: Solve for x
   x = 1,667,462.88/1,463.62
6. Step 6: Final answer
   x = 1,139.28