Finding the Fourth Proportional to 1,111.89, 1,668.86 and 564.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.89 : 1,668.86 = 564.47 : x
2. Step 2: Convert to fraction form
   1,111.89/1,668.86 = 564.47/x
3. Step 3: Cross multiply
   1,111.89x = 1,668.86 × 564.47
4. Step 4: Simplify right side
   1,111.89x = 942,021.40
5. Step 5: Solve for x
   x = 942,021.40/1,111.89
6. Step 6: Final answer
   x = 847.23