Finding the Fourth Proportional to 1,564.02, 2,158.22 and 900.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.02 : 2,158.22 = 900.84 : x
2. Step 2: Convert to fraction form
   1,564.02/2,158.22 = 900.84/x
3. Step 3: Cross multiply
   1,564.02x = 2,158.22 × 900.84
4. Step 4: Simplify right side
   1,564.02x = 1,944,210.90
5. Step 5: Solve for x
   x = 1,944,210.90/1,564.02
6. Step 6: Final answer
   x = 1,243.09