Finding the Fourth Proportional to 1,180.72, 1,768.38 and 564.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.72 : 1,768.38 = 564.86 : x
2. Step 2: Convert to fraction form
   1,180.72/1,768.38 = 564.86/x
3. Step 3: Cross multiply
   1,180.72x = 1,768.38 × 564.86
4. Step 4: Simplify right side
   1,180.72x = 998,887.13
5. Step 5: Solve for x
   x = 998,887.13/1,180.72
6. Step 6: Final answer
   x = 846.00