Finding the Fourth Proportional to 1,026.69, 1,540.56 and 564.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.69 : 1,540.56 = 564.83 : x
2. Step 2: Convert to fraction form
   1,026.69/1,540.56 = 564.83/x
3. Step 3: Cross multiply
   1,026.69x = 1,540.56 × 564.83
4. Step 4: Simplify right side
   1,026.69x = 870,154.50
5. Step 5: Solve for x
   x = 870,154.50/1,026.69
6. Step 6: Final answer
   x = 847.53