Finding the Fourth Proportional to 1,112.77, 1,667.39 and 564.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,112.77 : 1,667.39 = 564.20 : x
2. Step 2: Convert to fraction form
   1,112.77/1,667.39 = 564.20/x
3. Step 3: Cross multiply
   1,112.77x = 1,667.39 × 564.20
4. Step 4: Simplify right side
   1,112.77x = 940,733.10
5. Step 5: Solve for x
   x = 940,733.10/1,112.77
6. Step 6: Final answer
   x = 845.40