Finding the Fourth Proportional to 1,564.40, 2,158.76 and 901.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.40 : 2,158.76 = 901.12 : x
2. Step 2: Convert to fraction form
   1,564.40/2,158.76 = 901.12/x
3. Step 3: Cross multiply
   1,564.40x = 2,158.76 × 901.12
4. Step 4: Simplify right side
   1,564.40x = 1,945,301.81
5. Step 5: Solve for x
   x = 1,945,301.81/1,564.40
6. Step 6: Final answer
   x = 1,243.48