Finding the Fourth Proportional to 1,564.31, 2,159.23 and 901.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.31 : 2,159.23 = 901.61 : x
2. Step 2: Convert to fraction form
   1,564.31/2,159.23 = 901.61/x
3. Step 3: Cross multiply
   1,564.31x = 2,159.23 × 901.61
4. Step 4: Simplify right side
   1,564.31x = 1,946,777.52
5. Step 5: Solve for x
   x = 1,946,777.52/1,564.31
6. Step 6: Final answer
   x = 1,244.49