Finding the Fourth Proportional to 1,354.79, 1,869.71 and 765.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.79 : 1,869.71 = 765.37 : x
2. Step 2: Convert to fraction form
   1,354.79/1,869.71 = 765.37/x
3. Step 3: Cross multiply
   1,354.79x = 1,869.71 × 765.37
4. Step 4: Simplify right side
   1,354.79x = 1,431,019.94
5. Step 5: Solve for x
   x = 1,431,019.94/1,354.79
6. Step 6: Final answer
   x = 1,056.27