Finding the Fourth Proportional to 1,378.99, 1,902.67 and 819.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.99 : 1,902.67 = 819.44 : x
2. Step 2: Convert to fraction form
   1,378.99/1,902.67 = 819.44/x
3. Step 3: Cross multiply
   1,378.99x = 1,902.67 × 819.44
4. Step 4: Simplify right side
   1,378.99x = 1,559,123.90
5. Step 5: Solve for x
   x = 1,559,123.90/1,378.99
6. Step 6: Final answer
   x = 1,130.63