Finding the Fourth Proportional to 1,109.58, 1,665.38 and 562.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.58 : 1,665.38 = 562.14 : x
2. Step 2: Convert to fraction form
   1,109.58/1,665.38 = 562.14/x
3. Step 3: Cross multiply
   1,109.58x = 1,665.38 × 562.14
4. Step 4: Simplify right side
   1,109.58x = 936,178.12
5. Step 5: Solve for x
   x = 936,178.12/1,109.58
6. Step 6: Final answer
   x = 843.72