Finding the Fourth Proportional to 1,109.90, 1,664.73 and 697.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.90 : 1,664.73 = 697.82 : x
2. Step 2: Convert to fraction form
   1,109.90/1,664.73 = 697.82/x
3. Step 3: Cross multiply
   1,109.90x = 1,664.73 × 697.82
4. Step 4: Simplify right side
   1,109.90x = 1,161,673.56
5. Step 5: Solve for x
   x = 1,161,673.56/1,109.90
6. Step 6: Final answer
   x = 1,046.64