Finding the Fourth Proportional to 1,227.05, 1,839.50 and 578.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.05 : 1,839.50 = 578.57 : x
2. Step 2: Convert to fraction form
   1,227.05/1,839.50 = 578.57/x
3. Step 3: Cross multiply
   1,227.05x = 1,839.50 × 578.57
4. Step 4: Simplify right side
   1,227.05x = 1,064,276.62
5. Step 5: Solve for x
   x = 1,064,276.62/1,227.05
6. Step 6: Final answer
   x = 867.35