Finding the Fourth Proportional to 1,222.52, 1,832.72 and 564.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222.52 : 1,832.72 = 564.16 : x
2. Step 2: Convert to fraction form
   1,222.52/1,832.72 = 564.16/x
3. Step 3: Cross multiply
   1,222.52x = 1,832.72 × 564.16
4. Step 4: Simplify right side
   1,222.52x = 1,033,947.32
5. Step 5: Solve for x
   x = 1,033,947.32/1,222.52
6. Step 6: Final answer
   x = 845.75