Finding the Fourth Proportional to 1,383.57, 1,909.32 and 762.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.57 : 1,909.32 = 762.57 : x
2. Step 2: Convert to fraction form
   1,383.57/1,909.32 = 762.57/x
3. Step 3: Cross multiply
   1,383.57x = 1,909.32 × 762.57
4. Step 4: Simplify right side
   1,383.57x = 1,455,990.15
5. Step 5: Solve for x
   x = 1,455,990.15/1,383.57
6. Step 6: Final answer
   x = 1,052.34