Finding the Fourth Proportional to 1,109.82, 1,664.71 and 288.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.82 : 1,664.71 = 288.09 : x
2. Step 2: Convert to fraction form
   1,109.82/1,664.71 = 288.09/x
3. Step 3: Cross multiply
   1,109.82x = 1,664.71 × 288.09
4. Step 4: Simplify right side
   1,109.82x = 479,586.30
5. Step 5: Solve for x
   x = 479,586.30/1,109.82
6. Step 6: Final answer
   x = 432.13