Finding the Fourth Proportional to 1,463.69, 2,019.87 and 825.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.69 : 2,019.87 = 825.56 : x
2. Step 2: Convert to fraction form
   1,463.69/2,019.87 = 825.56/x
3. Step 3: Cross multiply
   1,463.69x = 2,019.87 × 825.56
4. Step 4: Simplify right side
   1,463.69x = 1,667,528.93
5. Step 5: Solve for x
   x = 1,667,528.93/1,463.69
6. Step 6: Final answer
   x = 1,139.27