Finding the Fourth Proportional to 2,407.69, 3,611.49 and 764.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,407.69 : 3,611.49 = 764.02 : x
2. Step 2: Convert to fraction form
   2,407.69/3,611.49 = 764.02/x
3. Step 3: Cross multiply
   2,407.69x = 3,611.49 × 764.02
4. Step 4: Simplify right side
   2,407.69x = 2,759,250.59
5. Step 5: Solve for x
   x = 2,759,250.59/2,407.69
6. Step 6: Final answer
   x = 1,146.02