Finding the Fourth Proportional to 1,109.12, 1,665.12 and 726.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.12 : 1,665.12 = 726.08 : x
2. Step 2: Convert to fraction form
   1,109.12/1,665.12 = 726.08/x
3. Step 3: Cross multiply
   1,109.12x = 1,665.12 × 726.08
4. Step 4: Simplify right side
   1,109.12x = 1,209,010.33
5. Step 5: Solve for x
   x = 1,209,010.33/1,109.12
6. Step 6: Final answer
   x = 1,090.06