Finding the Fourth Proportional to 1,383.89, 1,909.74 and 762.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.89 : 1,909.74 = 762.89 : x
2. Step 2: Convert to fraction form
   1,383.89/1,909.74 = 762.89/x
3. Step 3: Cross multiply
   1,383.89x = 1,909.74 × 762.89
4. Step 4: Simplify right side
   1,383.89x = 1,456,921.55
5. Step 5: Solve for x
   x = 1,456,921.55/1,383.89
6. Step 6: Final answer
   x = 1,052.77