Finding the Fourth Proportional to 1,354.94, 1,869.83 and 765.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.94 : 1,869.83 = 765.46 : x
2. Step 2: Convert to fraction form
   1,354.94/1,869.83 = 765.46/x
3. Step 3: Cross multiply
   1,354.94x = 1,869.83 × 765.46
4. Step 4: Simplify right side
   1,354.94x = 1,431,280.07
5. Step 5: Solve for x
   x = 1,431,280.07/1,354.94
6. Step 6: Final answer
   x = 1,056.34