Finding the Fourth Proportional to 1,564.83, 2,159.47 and 901.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.83 : 2,159.47 = 901.67 : x
2. Step 2: Convert to fraction form
   1,564.83/2,159.47 = 901.67/x
3. Step 3: Cross multiply
   1,564.83x = 2,159.47 × 901.67
4. Step 4: Simplify right side
   1,564.83x = 1,947,129.31
5. Step 5: Solve for x
   x = 1,947,129.31/1,564.83
6. Step 6: Final answer
   x = 1,244.31