Finding the Fourth Proportional to 1,564.29, 2,158.25 and 900.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.29 : 2,158.25 = 900.75 : x
2. Step 2: Convert to fraction form
   1,564.29/2,158.25 = 900.75/x
3. Step 3: Cross multiply
   1,564.29x = 2,158.25 × 900.75
4. Step 4: Simplify right side
   1,564.29x = 1,944,039.18
5. Step 5: Solve for x
   x = 1,944,039.18/1,564.29
6. Step 6: Final answer
   x = 1,242.76