Finding the Fourth Proportional to 1,403.22, 2,105.94 and 786.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,403.22 : 2,105.94 = 786.82 : x
2. Step 2: Convert to fraction form
   1,403.22/2,105.94 = 786.82/x
3. Step 3: Cross multiply
   1,403.22x = 2,105.94 × 786.82
4. Step 4: Simplify right side
   1,403.22x = 1,656,995.71
5. Step 5: Solve for x
   x = 1,656,995.71/1,403.22
6. Step 6: Final answer
   x = 1,180.85