Finding the Fourth Proportional to 1,141.32, 1,709.82 and 564.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.32 : 1,709.82 = 564.60 : x
2. Step 2: Convert to fraction form
   1,141.32/1,709.82 = 564.60/x
3. Step 3: Cross multiply
   1,141.32x = 1,709.82 × 564.60
4. Step 4: Simplify right side
   1,141.32x = 965,364.37
5. Step 5: Solve for x
   x = 965,364.37/1,141.32
6. Step 6: Final answer
   x = 845.83