Finding the Fourth Proportional to 1,002.38, 1,504.21 and 540.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.38 : 1,504.21 = 540.48 : x
2. Step 2: Convert to fraction form
   1,002.38/1,504.21 = 540.48/x
3. Step 3: Cross multiply
   1,002.38x = 1,504.21 × 540.48
4. Step 4: Simplify right side
   1,002.38x = 812,990.46
5. Step 5: Solve for x
   x = 812,990.46/1,002.38
6. Step 6: Final answer
   x = 811.06