Finding the Fourth Proportional to 1,186.52, 1,780.16 and 570.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,186.52 : 1,780.16 = 570.27 : x
2. Step 2: Convert to fraction form
   1,186.52/1,780.16 = 570.27/x
3. Step 3: Cross multiply
   1,186.52x = 1,780.16 × 570.27
4. Step 4: Simplify right side
   1,186.52x = 1,015,171.09
5. Step 5: Solve for x
   x = 1,015,171.09/1,186.52
6. Step 6: Final answer
   x = 855.59