Finding the Fourth Proportional to 1,378.50, 1,902.34 and 854.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.50 : 1,902.34 = 854.84 : x
2. Step 2: Convert to fraction form
   1,378.50/1,902.34 = 854.84/x
3. Step 3: Cross multiply
   1,378.50x = 1,902.34 × 854.84
4. Step 4: Simplify right side
   1,378.50x = 1,626,196.33
5. Step 5: Solve for x
   x = 1,626,196.33/1,378.50
6. Step 6: Final answer
   x = 1,179.69