Finding the Fourth Proportional to 1,209.38, 1,811.71 and 575.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,209.38 : 1,811.71 = 575.25 : x
2. Step 2: Convert to fraction form
   1,209.38/1,811.71 = 575.25/x
3. Step 3: Cross multiply
   1,209.38x = 1,811.71 × 575.25
4. Step 4: Simplify right side
   1,209.38x = 1,042,180.10
5. Step 5: Solve for x
   x = 1,042,180.10/1,209.38
6. Step 6: Final answer
   x = 861.75