Finding the Fourth Proportional to 2,584.46, 3,875.58 and 1,002.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.46 : 3,875.58 = 1,002.24 : x
2. Step 2: Convert to fraction form
   2,584.46/3,875.58 = 1,002.24/x
3. Step 3: Cross multiply
   2,584.46x = 3,875.58 × 1,002.24
4. Step 4: Simplify right side
   2,584.46x = 3,884,261.30
5. Step 5: Solve for x
   x = 3,884,261.30/2,584.46
6. Step 6: Final answer
   x = 1,502.93