Finding the Fourth Proportional to 1,378.42, 1,901.93 and 789.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.42 : 1,901.93 = 789.14 : x
2. Step 2: Convert to fraction form
   1,378.42/1,901.93 = 789.14/x
3. Step 3: Cross multiply
   1,378.42x = 1,901.93 × 789.14
4. Step 4: Simplify right side
   1,378.42x = 1,500,894.29
5. Step 5: Solve for x
   x = 1,500,894.29/1,378.42
6. Step 6: Final answer
   x = 1,088.85