Finding the Fourth Proportional to 1,209.57, 1,812.24 and 558.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,209.57 : 1,812.24 = 558.96 : x
2. Step 2: Convert to fraction form
   1,209.57/1,812.24 = 558.96/x
3. Step 3: Cross multiply
   1,209.57x = 1,812.24 × 558.96
4. Step 4: Simplify right side
   1,209.57x = 1,012,969.67
5. Step 5: Solve for x
   x = 1,012,969.67/1,209.57
6. Step 6: Final answer
   x = 837.46