Finding the Fourth Proportional to 1,084.46, 1,628.71 and 564.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.46 : 1,628.71 = 564.82 : x
2. Step 2: Convert to fraction form
   1,084.46/1,628.71 = 564.82/x
3. Step 3: Cross multiply
   1,084.46x = 1,628.71 × 564.82
4. Step 4: Simplify right side
   1,084.46x = 919,931.66
5. Step 5: Solve for x
   x = 919,931.66/1,084.46
6. Step 6: Final answer
   x = 848.28