Finding the Fourth Proportional to 1,050.71, 1,577.27 and 564.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,050.71 : 1,577.27 = 564.71 : x
2. Step 2: Convert to fraction form
   1,050.71/1,577.27 = 564.71/x
3. Step 3: Cross multiply
   1,050.71x = 1,577.27 × 564.71
4. Step 4: Simplify right side
   1,050.71x = 890,693.67
5. Step 5: Solve for x
   x = 890,693.67/1,050.71
6. Step 6: Final answer
   x = 847.71