Finding the Fourth Proportional to 1,383.76, 1,909.60 and 762.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.76 : 1,909.60 = 762.76 : x
2. Step 2: Convert to fraction form
   1,383.76/1,909.60 = 762.76/x
3. Step 3: Cross multiply
   1,383.76x = 1,909.60 × 762.76
4. Step 4: Simplify right side
   1,383.76x = 1,456,566.50
5. Step 5: Solve for x
   x = 1,456,566.50/1,383.76
6. Step 6: Final answer
   x = 1,052.61