Finding the Fourth Proportional to 1,109.06, 1,530.59 and 611.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.06 : 1,530.59 = 611.75 : x
2. Step 2: Convert to fraction form
   1,109.06/1,530.59 = 611.75/x
3. Step 3: Cross multiply
   1,109.06x = 1,530.59 × 611.75
4. Step 4: Simplify right side
   1,109.06x = 936,338.43
5. Step 5: Solve for x
   x = 936,338.43/1,109.06
6. Step 6: Final answer
   x = 844.27