Finding the Fourth Proportional to 1,141.82, 1,711.65 and 564.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.82 : 1,711.65 = 564.02 : x
2. Step 2: Convert to fraction form
   1,141.82/1,711.65 = 564.02/x
3. Step 3: Cross multiply
   1,141.82x = 1,711.65 × 564.02
4. Step 4: Simplify right side
   1,141.82x = 965,404.83
5. Step 5: Solve for x
   x = 965,404.83/1,141.82
6. Step 6: Final answer
   x = 845.50