Finding the Fourth Proportional to 1,181.24, 1,770.71 and 564.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.24 : 1,770.71 = 564.78 : x
2. Step 2: Convert to fraction form
   1,181.24/1,770.71 = 564.78/x
3. Step 3: Cross multiply
   1,181.24x = 1,770.71 × 564.78
4. Step 4: Simplify right side
   1,181.24x = 1,000,058.77
5. Step 5: Solve for x
   x = 1,000,058.77/1,181.24
6. Step 6: Final answer
   x = 846.62