Finding the Fourth Proportional to 1,383.81, 1,909.67 and 762.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.81 : 1,909.67 = 762.81 : x
2. Step 2: Convert to fraction form
   1,383.81/1,909.67 = 762.81/x
3. Step 3: Cross multiply
   1,383.81x = 1,909.67 × 762.81
4. Step 4: Simplify right side
   1,383.81x = 1,456,715.37
5. Step 5: Solve for x
   x = 1,456,715.37/1,383.81
6. Step 6: Final answer
   x = 1,052.68