Finding the Fourth Proportional to 1,564.84, 2,159.56 and 901.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.84 : 2,159.56 = 901.78 : x
2. Step 2: Convert to fraction form
   1,564.84/2,159.56 = 901.78/x
3. Step 3: Cross multiply
   1,564.84x = 2,159.56 × 901.78
4. Step 4: Simplify right side
   1,564.84x = 1,947,448.02
5. Step 5: Solve for x
   x = 1,947,448.02/1,564.84
6. Step 6: Final answer
   x = 1,244.50