Finding the Fourth Proportional to 1,358.78, 1,875.10 and 769.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,358.78 : 1,875.10 = 769.30 : x
2. Step 2: Convert to fraction form
   1,358.78/1,875.10 = 769.30/x
3. Step 3: Cross multiply
   1,358.78x = 1,875.10 × 769.30
4. Step 4: Simplify right side
   1,358.78x = 1,442,514.43
5. Step 5: Solve for x
   x = 1,442,514.43/1,358.78
6. Step 6: Final answer
   x = 1,061.62