Finding the Fourth Proportional to 1,112.33, 1,667.59 and 564.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,112.33 : 1,667.59 = 564.67 : x
2. Step 2: Convert to fraction form
   1,112.33/1,667.59 = 564.67/x
3. Step 3: Cross multiply
   1,112.33x = 1,667.59 × 564.67
4. Step 4: Simplify right side
   1,112.33x = 941,638.72
5. Step 5: Solve for x
   x = 941,638.72/1,112.33
6. Step 6: Final answer
   x = 846.54