Finding the Fourth Proportional to 1,002.47, 1,501.41 and 579.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.47 : 1,501.41 = 579.80 : x
2. Step 2: Convert to fraction form
   1,002.47/1,501.41 = 579.80/x
3. Step 3: Cross multiply
   1,002.47x = 1,501.41 × 579.80
4. Step 4: Simplify right side
   1,002.47x = 870,510.01
5. Step 5: Solve for x
   x = 870,510.01/1,002.47
6. Step 6: Final answer
   x = 868.37