Finding the Fourth Proportional to 1,354.34, 1,869.02 and 765.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.34 : 1,869.02 = 765.03 : x
2. Step 2: Convert to fraction form
   1,354.34/1,869.02 = 765.03/x
3. Step 3: Cross multiply
   1,354.34x = 1,869.02 × 765.03
4. Step 4: Simplify right side
   1,354.34x = 1,429,856.37
5. Step 5: Solve for x
   x = 1,429,856.37/1,354.34
6. Step 6: Final answer
   x = 1,055.76