Finding the Fourth Proportional to 1,085.82, 1,628.12 and 564.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.82 : 1,628.12 = 564.52 : x
2. Step 2: Convert to fraction form
   1,085.82/1,628.12 = 564.52/x
3. Step 3: Cross multiply
   1,085.82x = 1,628.12 × 564.52
4. Step 4: Simplify right side
   1,085.82x = 919,106.30
5. Step 5: Solve for x
   x = 919,106.30/1,085.82
6. Step 6: Final answer
   x = 846.46