Finding the Fourth Proportional to 1,112.72, 1,669.16 and 564.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,112.72 : 1,669.16 = 564.52 : x
2. Step 2: Convert to fraction form
   1,112.72/1,669.16 = 564.52/x
3. Step 3: Cross multiply
   1,112.72x = 1,669.16 × 564.52
4. Step 4: Simplify right side
   1,112.72x = 942,274.20
5. Step 5: Solve for x
   x = 942,274.20/1,112.72
6. Step 6: Final answer
   x = 846.82