Finding the Fourth Proportional to 2,405.74, 3,608.78 and 762.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,405.74 : 3,608.78 = 762.32 : x
2. Step 2: Convert to fraction form
   2,405.74/3,608.78 = 762.32/x
3. Step 3: Cross multiply
   2,405.74x = 3,608.78 × 762.32
4. Step 4: Simplify right side
   2,405.74x = 2,751,045.17
5. Step 5: Solve for x
   x = 2,751,045.17/2,405.74
6. Step 6: Final answer
   x = 1,143.53