Finding the Fourth Proportional to 1,760.98, 2,642.34 and 786.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,760.98 : 2,642.34 = 786.82 : x
2. Step 2: Convert to fraction form
   1,760.98/2,642.34 = 786.82/x
3. Step 3: Cross multiply
   1,760.98x = 2,642.34 × 786.82
4. Step 4: Simplify right side
   1,760.98x = 2,079,032.75
5. Step 5: Solve for x
   x = 2,079,032.75/1,760.98
6. Step 6: Final answer
   x = 1,180.61