Finding the Fourth Proportional to 1,354.84, 1,869.68 and 765.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.84 : 1,869.68 = 765.42 : x
2. Step 2: Convert to fraction form
   1,354.84/1,869.68 = 765.42/x
3. Step 3: Cross multiply
   1,354.84x = 1,869.68 × 765.42
4. Step 4: Simplify right side
   1,354.84x = 1,431,090.47
5. Step 5: Solve for x
   x = 1,431,090.47/1,354.84
6. Step 6: Final answer
   x = 1,056.28