Finding the Fourth Proportional to 2,061.38, 3,091.50 and 580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,061.38 : 3,091.50 = 580.50 : x
2. Step 2: Convert to fraction form
   2,061.38/3,091.50 = 580.50/x
3. Step 3: Cross multiply
   2,061.38x = 3,091.50 × 580.50
4. Step 4: Simplify right side
   2,061.38x = 1,794,615.75
5. Step 5: Solve for x
   x = 1,794,615.75/2,061.38
6. Step 6: Final answer
   x = 870.59