Finding the Fourth Proportional to 1,074.16, 1,609.89 and 580.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,074.16 : 1,609.89 = 580.55 : x
2. Step 2: Convert to fraction form
   1,074.16/1,609.89 = 580.55/x
3. Step 3: Cross multiply
   1,074.16x = 1,609.89 × 580.55
4. Step 4: Simplify right side
   1,074.16x = 934,613.59
5. Step 5: Solve for x
   x = 934,613.59/1,074.16
6. Step 6: Final answer
   x = 870.09