Finding the Fourth Proportional to 1,227.98, 1,842.28 and 578.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.98 : 1,842.28 = 578.57 : x
2. Step 2: Convert to fraction form
   1,227.98/1,842.28 = 578.57/x
3. Step 3: Cross multiply
   1,227.98x = 1,842.28 × 578.57
4. Step 4: Simplify right side
   1,227.98x = 1,065,875.84
5. Step 5: Solve for x
   x = 1,065,875.84/1,227.98
6. Step 6: Final answer
   x = 867.99