Finding the Fourth Proportional to 1,354.69, 1,869.48 and 765.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.69 : 1,869.48 = 765.28 : x
2. Step 2: Convert to fraction form
   1,354.69/1,869.48 = 765.28/x
3. Step 3: Cross multiply
   1,354.69x = 1,869.48 × 765.28
4. Step 4: Simplify right side
   1,354.69x = 1,430,662.48
5. Step 5: Solve for x
   x = 1,430,662.48/1,354.69
6. Step 6: Final answer
   x = 1,056.08