Finding the Fourth Proportional to 2,407.72, 3,611.60 and 764.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,407.72 : 3,611.60 = 764.28 : x
2. Step 2: Convert to fraction form
   2,407.72/3,611.60 = 764.28/x
3. Step 3: Cross multiply
   2,407.72x = 3,611.60 × 764.28
4. Step 4: Simplify right side
   2,407.72x = 2,760,257.50
5. Step 5: Solve for x
   x = 2,760,257.50/2,407.72
6. Step 6: Final answer
   x = 1,146.42