Finding the Fourth Proportional to 1,009.50, 1,522.19 and 819.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.50 : 1,522.19 = 819.42 : x
2. Step 2: Convert to fraction form
   1,009.50/1,522.19 = 819.42/x
3. Step 3: Cross multiply
   1,009.50x = 1,522.19 × 819.42
4. Step 4: Simplify right side
   1,009.50x = 1,247,308.83
5. Step 5: Solve for x
   x = 1,247,308.83/1,009.50
6. Step 6: Final answer
   x = 1,235.57