Finding the Fourth Proportional to 1,180.48, 1,769.59 and 564.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.48 : 1,769.59 = 564.02 : x
2. Step 2: Convert to fraction form
   1,180.48/1,769.59 = 564.02/x
3. Step 3: Cross multiply
   1,180.48x = 1,769.59 × 564.02
4. Step 4: Simplify right side
   1,180.48x = 998,084.15
5. Step 5: Solve for x
   x = 998,084.15/1,180.48
6. Step 6: Final answer
   x = 845.49