Finding the Fourth Proportional to 1,608.02, 2,204.56 and 1,578.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.02 : 2,204.56 = 1,578.86 : x
2. Step 2: Convert to fraction form
   1,608.02/2,204.56 = 1,578.86/x
3. Step 3: Cross multiply
   1,608.02x = 2,204.56 × 1,578.86
4. Step 4: Simplify right side
   1,608.02x = 3,480,691.60
5. Step 5: Solve for x
   x = 3,480,691.60/1,608.02
6. Step 6: Final answer
   x = 2,164.58