Finding the Fourth Proportional to 1,564.25, 2,158.27 and 900.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.25 : 2,158.27 = 900.95 : x
2. Step 2: Convert to fraction form
   1,564.25/2,158.27 = 900.95/x
3. Step 3: Cross multiply
   1,564.25x = 2,158.27 × 900.95
4. Step 4: Simplify right side
   1,564.25x = 1,944,480.31
5. Step 5: Solve for x
   x = 1,944,480.31/1,564.25
6. Step 6: Final answer
   x = 1,243.08