Finding the Fourth Proportional to 1,378.42, 1,902.69 and 854.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.42 : 1,902.69 = 854.75 : x
2. Step 2: Convert to fraction form
   1,378.42/1,902.69 = 854.75/x
3. Step 3: Cross multiply
   1,378.42x = 1,902.69 × 854.75
4. Step 4: Simplify right side
   1,378.42x = 1,626,329.03
5. Step 5: Solve for x
   x = 1,626,329.03/1,378.42
6. Step 6: Final answer
   x = 1,179.85