Finding the Fourth Proportional to 1,499.60, 2,249.04 and 768.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,499.60 : 2,249.04 = 768.80 : x
2. Step 2: Convert to fraction form
   1,499.60/2,249.04 = 768.80/x
3. Step 3: Cross multiply
   1,499.60x = 2,249.04 × 768.80
4. Step 4: Simplify right side
   1,499.60x = 1,729,061.95
5. Step 5: Solve for x
   x = 1,729,061.95/1,499.60
6. Step 6: Final answer
   x = 1,153.02