Finding the Fourth Proportional to 1,378.42, 1,902.59 and 854.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.42 : 1,902.59 = 854.89 : x
2. Step 2: Convert to fraction form
   1,378.42/1,902.59 = 854.89/x
3. Step 3: Cross multiply
   1,378.42x = 1,902.59 × 854.89
4. Step 4: Simplify right side
   1,378.42x = 1,626,503.27
5. Step 5: Solve for x
   x = 1,626,503.27/1,378.42
6. Step 6: Final answer
   x = 1,179.98