Finding the Fourth Proportional to 1,358.25, 1,874.54 and 768.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,358.25 : 1,874.54 = 768.78 : x
2. Step 2: Convert to fraction form
   1,358.25/1,874.54 = 768.78/x
3. Step 3: Cross multiply
   1,358.25x = 1,874.54 × 768.78
4. Step 4: Simplify right side
   1,358.25x = 1,441,105.02
5. Step 5: Solve for x
   x = 1,441,105.02/1,358.25
6. Step 6: Final answer
   x = 1,061.00