Finding the Fourth Proportional to 1,164.96, 1,747.69 and 580.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.96 : 1,747.69 = 580.27 : x
2. Step 2: Convert to fraction form
   1,164.96/1,747.69 = 580.27/x
3. Step 3: Cross multiply
   1,164.96x = 1,747.69 × 580.27
4. Step 4: Simplify right side
   1,164.96x = 1,014,132.08
5. Step 5: Solve for x
   x = 1,014,132.08/1,164.96
6. Step 6: Final answer
   x = 870.53