Finding the Fourth Proportional to 1,185.34, 1,777.80 and 697.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.34 : 1,777.80 = 697.82 : x
2. Step 2: Convert to fraction form
   1,185.34/1,777.80 = 697.82/x
3. Step 3: Cross multiply
   1,185.34x = 1,777.80 × 697.82
4. Step 4: Simplify right side
   1,185.34x = 1,240,584.40
5. Step 5: Solve for x
   x = 1,240,584.40/1,185.34
6. Step 6: Final answer
   x = 1,046.61