Finding the Fourth Proportional to 976.77, 1,463.31 and 759.27

Step by Step Solution

1. Step 1: Write the proportion equation
   976.77 : 1,463.31 = 759.27 : x
2. Step 2: Convert to fraction form
   976.77/1,463.31 = 759.27/x
3. Step 3: Cross multiply
   976.77x = 1,463.31 × 759.27
4. Step 4: Simplify right side
   976.77x = 1,111,047.38
5. Step 5: Solve for x
   x = 1,111,047.38/976.77
6. Step 6: Final answer
   x = 1,137.47