Finding the Fourth Proportional to 1,058.55, 1,587.83 and 564.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,058.55 : 1,587.83 = 564.86 : x
2. Step 2: Convert to fraction form
   1,058.55/1,587.83 = 564.86/x
3. Step 3: Cross multiply
   1,058.55x = 1,587.83 × 564.86
4. Step 4: Simplify right side
   1,058.55x = 896,890.89
5. Step 5: Solve for x
   x = 896,890.89/1,058.55
6. Step 6: Final answer
   x = 847.28