Finding the Fourth Proportional to 1,463.50, 2,019.69 and 842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.50 : 2,019.69 = 842.50 : x
2. Step 2: Convert to fraction form
   1,463.50/2,019.69 = 842.50/x
3. Step 3: Cross multiply
   1,463.50x = 2,019.69 × 842.50
4. Step 4: Simplify right side
   1,463.50x = 1,701,588.83
5. Step 5: Solve for x
   x = 1,701,588.83/1,463.50
6. Step 6: Final answer
   x = 1,162.68