Finding the Fourth Proportional to 1,627.89, 2,438.76 and 805.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,627.89 : 2,438.76 = 805.20 : x
2. Step 2: Convert to fraction form
   1,627.89/2,438.76 = 805.20/x
3. Step 3: Cross multiply
   1,627.89x = 2,438.76 × 805.20
4. Step 4: Simplify right side
   1,627.89x = 1,963,689.55
5. Step 5: Solve for x
   x = 1,963,689.55/1,627.89
6. Step 6: Final answer
   x = 1,206.28