Finding the Fourth Proportional to 1,564.35, 2,158.61 and 901.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.35 : 2,158.61 = 901.23 : x
2. Step 2: Convert to fraction form
   1,564.35/2,158.61 = 901.23/x
3. Step 3: Cross multiply
   1,564.35x = 2,158.61 × 901.23
4. Step 4: Simplify right side
   1,564.35x = 1,945,393.30
5. Step 5: Solve for x
   x = 1,945,393.30/1,564.35
6. Step 6: Final answer
   x = 1,243.58