Finding the Fourth Proportional to 1,564.50, 2,159.48 and 901.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.50 : 2,159.48 = 901.82 : x
2. Step 2: Convert to fraction form
   1,564.50/2,159.48 = 901.82/x
3. Step 3: Cross multiply
   1,564.50x = 2,159.48 × 901.82
4. Step 4: Simplify right side
   1,564.50x = 1,947,466.53
5. Step 5: Solve for x
   x = 1,947,466.53/1,564.50
6. Step 6: Final answer
   x = 1,244.78