Finding the Fourth Proportional to 1,564.61, 2,158.94 and 901.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.61 : 2,158.94 = 901.49 : x
2. Step 2: Convert to fraction form
   1,564.61/2,158.94 = 901.49/x
3. Step 3: Cross multiply
   1,564.61x = 2,158.94 × 901.49
4. Step 4: Simplify right side
   1,564.61x = 1,946,247.52
5. Step 5: Solve for x
   x = 1,946,247.52/1,564.61
6. Step 6: Final answer
   x = 1,243.92