Finding the Fourth Proportional to 1,354.78, 1,869.83 and 765.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.78 : 1,869.83 = 765.30 : x
2. Step 2: Convert to fraction form
   1,354.78/1,869.83 = 765.30/x
3. Step 3: Cross multiply
   1,354.78x = 1,869.83 × 765.30
4. Step 4: Simplify right side
   1,354.78x = 1,430,967.72
5. Step 5: Solve for x
   x = 1,430,967.72/1,354.78
6. Step 6: Final answer
   x = 1,056.24