Finding the Fourth Proportional to 1,100.97, 1,650.38 and 580.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.97 : 1,650.38 = 580.41 : x
2. Step 2: Convert to fraction form
   1,100.97/1,650.38 = 580.41/x
3. Step 3: Cross multiply
   1,100.97x = 1,650.38 × 580.41
4. Step 4: Simplify right side
   1,100.97x = 957,894.15
5. Step 5: Solve for x
   x = 957,894.15/1,100.97
6. Step 6: Final answer
   x = 870.05