Finding the Fourth Proportional to 1,002.43, 1,500.71 and 584.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.43 : 1,500.71 = 584.68 : x
2. Step 2: Convert to fraction form
   1,002.43/1,500.71 = 584.68/x
3. Step 3: Cross multiply
   1,002.43x = 1,500.71 × 584.68
4. Step 4: Simplify right side
   1,002.43x = 877,435.12
5. Step 5: Solve for x
   x = 877,435.12/1,002.43
6. Step 6: Final answer
   x = 875.31