Finding the Fourth Proportional to 1,608.64, 2,219.76 and 900.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.64 : 2,219.76 = 900.52 : x
2. Step 2: Convert to fraction form
   1,608.64/2,219.76 = 900.52/x
3. Step 3: Cross multiply
   1,608.64x = 2,219.76 × 900.52
4. Step 4: Simplify right side
   1,608.64x = 1,998,938.28
5. Step 5: Solve for x
   x = 1,998,938.28/1,608.64
6. Step 6: Final answer
   x = 1,242.63