Finding the Fourth Proportional to 1,189.52, 1,785.15 and 564.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.52 : 1,785.15 = 564.82 : x
2. Step 2: Convert to fraction form
   1,189.52/1,785.15 = 564.82/x
3. Step 3: Cross multiply
   1,189.52x = 1,785.15 × 564.82
4. Step 4: Simplify right side
   1,189.52x = 1,008,279.50
5. Step 5: Solve for x
   x = 1,008,279.50/1,189.52
6. Step 6: Final answer
   x = 847.64