Finding the Fourth Proportional to 1,463.25, 2,019.30 and 842.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.25 : 2,019.30 = 842.25 : x
2. Step 2: Convert to fraction form
   1,463.25/2,019.30 = 842.25/x
3. Step 3: Cross multiply
   1,463.25x = 2,019.30 × 842.25
4. Step 4: Simplify right side
   1,463.25x = 1,700,755.43
5. Step 5: Solve for x
   x = 1,700,755.43/1,463.25
6. Step 6: Final answer
   x = 1,162.31