Finding the Fourth Proportional to 1,354.91, 1,869.83 and 765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.91 : 1,869.83 = 765.50 : x
2. Step 2: Convert to fraction form
   1,354.91/1,869.83 = 765.50/x
3. Step 3: Cross multiply
   1,354.91x = 1,869.83 × 765.50
4. Step 4: Simplify right side
   1,354.91x = 1,431,354.87
5. Step 5: Solve for x
   x = 1,431,354.87/1,354.91
6. Step 6: Final answer
   x = 1,056.42