Finding the Fourth Proportional to 1,112.33, 1,668.43 and 564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,112.33 : 1,668.43 = 564.50 : x
2. Step 2: Convert to fraction form
   1,112.33/1,668.43 = 564.50/x
3. Step 3: Cross multiply
   1,112.33x = 1,668.43 × 564.50
4. Step 4: Simplify right side
   1,112.33x = 941,823.89
5. Step 5: Solve for x
   x = 941,823.89/1,112.33
6. Step 6: Final answer
   x = 846.71