Finding the Fourth Proportional to 1,499.77, 2,247.72 and 769.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,499.77 : 2,247.72 = 769.60 : x
2. Step 2: Convert to fraction form
   1,499.77/2,247.72 = 769.60/x
3. Step 3: Cross multiply
   1,499.77x = 2,247.72 × 769.60
4. Step 4: Simplify right side
   1,499.77x = 1,729,845.31
5. Step 5: Solve for x
   x = 1,729,845.31/1,499.77
6. Step 6: Final answer
   x = 1,153.41