Finding the Fourth Proportional to 1,100.14, 1,649.82 and 580.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.14 : 1,649.82 = 580.54 : x
2. Step 2: Convert to fraction form
   1,100.14/1,649.82 = 580.54/x
3. Step 3: Cross multiply
   1,100.14x = 1,649.82 × 580.54
4. Step 4: Simplify right side
   1,100.14x = 957,786.50
5. Step 5: Solve for x
   x = 957,786.50/1,100.14
6. Step 6: Final answer
   x = 870.60