Finding the Fourth Proportional to 1,354.46, 1,869.18 and 765.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.46 : 1,869.18 = 765.05 : x
2. Step 2: Convert to fraction form
   1,354.46/1,869.18 = 765.05/x
3. Step 3: Cross multiply
   1,354.46x = 1,869.18 × 765.05
4. Step 4: Simplify right side
   1,354.46x = 1,430,003.94
5. Step 5: Solve for x
   x = 1,430,003.94/1,354.46
6. Step 6: Final answer
   x = 1,055.78