Finding the Fourth Proportional to 1,189.38, 1,783.68 and 564.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.38 : 1,783.68 = 564.59 : x
2. Step 2: Convert to fraction form
   1,189.38/1,783.68 = 564.59/x
3. Step 3: Cross multiply
   1,189.38x = 1,783.68 × 564.59
4. Step 4: Simplify right side
   1,189.38x = 1,007,047.89
5. Step 5: Solve for x
   x = 1,007,047.89/1,189.38
6. Step 6: Final answer
   x = 846.70