Finding the Fourth Proportional to 1,564.57, 2,158.17 and 1,033.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.57 : 2,158.17 = 1,033.46 : x
2. Step 2: Convert to fraction form
   1,564.57/2,158.17 = 1,033.46/x
3. Step 3: Cross multiply
   1,564.57x = 2,158.17 × 1,033.46
4. Step 4: Simplify right side
   1,564.57x = 2,230,382.37
5. Step 5: Solve for x
   x = 2,230,382.37/1,564.57
6. Step 6: Final answer
   x = 1,425.56