Finding the Fourth Proportional to 1,354.49, 1,869.30 and 765.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.49 : 1,869.30 = 765.12 : x
2. Step 2: Convert to fraction form
   1,354.49/1,869.30 = 765.12/x
3. Step 3: Cross multiply
   1,354.49x = 1,869.30 × 765.12
4. Step 4: Simplify right side
   1,354.49x = 1,430,238.82
5. Step 5: Solve for x
   x = 1,430,238.82/1,354.49
6. Step 6: Final answer
   x = 1,055.93