Finding the Fourth Proportional to 1,222.62, 1,834.38 and 564.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222.62 : 1,834.38 = 564.81 : x
2. Step 2: Convert to fraction form
   1,222.62/1,834.38 = 564.81/x
3. Step 3: Cross multiply
   1,222.62x = 1,834.38 × 564.81
4. Step 4: Simplify right side
   1,222.62x = 1,036,077.03
5. Step 5: Solve for x
   x = 1,036,077.03/1,222.62
6. Step 6: Final answer
   x = 847.42