Finding the Fourth Proportional to 1,099.68, 1,650.72 and 580.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.68 : 1,650.72 = 580.32 : x
2. Step 2: Convert to fraction form
   1,099.68/1,650.72 = 580.32/x
3. Step 3: Cross multiply
   1,099.68x = 1,650.72 × 580.32
4. Step 4: Simplify right side
   1,099.68x = 957,945.83
5. Step 5: Solve for x
   x = 957,945.83/1,099.68
6. Step 6: Final answer
   x = 871.11