Finding the Fourth Proportional to 1,383.50, 1,909.23 and 762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.50 : 1,909.23 = 762.50 : x
2. Step 2: Convert to fraction form
   1,383.50/1,909.23 = 762.50/x
3. Step 3: Cross multiply
   1,383.50x = 1,909.23 × 762.50
4. Step 4: Simplify right side
   1,383.50x = 1,455,787.88
5. Step 5: Solve for x
   x = 1,455,787.88/1,383.50
6. Step 6: Final answer
   x = 1,052.25