Finding the Fourth Proportional to 2,407.86, 3,612.09 and 763.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,407.86 : 3,612.09 = 763.82 : x
2. Step 2: Convert to fraction form
   2,407.86/3,612.09 = 763.82/x
3. Step 3: Cross multiply
   2,407.86x = 3,612.09 × 763.82
4. Step 4: Simplify right side
   2,407.86x = 2,758,984.93
5. Step 5: Solve for x
   x = 2,758,984.93/2,407.86
6. Step 6: Final answer
   x = 1,145.82