Finding the Fourth Proportional to 1,387.29, 1,914.37 and 757.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,387.29 : 1,914.37 = 757.69 : x
2. Step 2: Convert to fraction form
   1,387.29/1,914.37 = 757.69/x
3. Step 3: Cross multiply
   1,387.29x = 1,914.37 × 757.69
4. Step 4: Simplify right side
   1,387.29x = 1,450,496.59
5. Step 5: Solve for x
   x = 1,450,496.59/1,387.29
6. Step 6: Final answer
   x = 1,045.56