Finding the Fourth Proportional to 1,358.54, 1,874.78 and 769.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,358.54 : 1,874.78 = 769.05 : x
2. Step 2: Convert to fraction form
   1,358.54/1,874.78 = 769.05/x
3. Step 3: Cross multiply
   1,358.54x = 1,874.78 × 769.05
4. Step 4: Simplify right side
   1,358.54x = 1,441,795.71
5. Step 5: Solve for x
   x = 1,441,795.71/1,358.54
6. Step 6: Final answer
   x = 1,061.29