Finding the Fourth Proportional to 2,407.57, 3,611.48 and 764.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,407.57 : 3,611.48 = 764.25 : x
2. Step 2: Convert to fraction form
   2,407.57/3,611.48 = 764.25/x
3. Step 3: Cross multiply
   2,407.57x = 3,611.48 × 764.25
4. Step 4: Simplify right side
   2,407.57x = 2,760,055.53
5. Step 5: Solve for x
   x = 2,760,055.53/2,407.57
6. Step 6: Final answer
   x = 1,146.41