Finding the Fourth Proportional to 1,113.89, 1,669.28 and 564.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,113.89 : 1,669.28 = 564.71 : x
2. Step 2: Convert to fraction form
   1,113.89/1,669.28 = 564.71/x
3. Step 3: Cross multiply
   1,113.89x = 1,669.28 × 564.71
4. Step 4: Simplify right side
   1,113.89x = 942,647.94
5. Step 5: Solve for x
   x = 942,647.94/1,113.89
6. Step 6: Final answer
   x = 846.27