Finding the Fourth Proportional to 1,002.38, 1,500.83 and 538.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.38 : 1,500.83 = 538.09 : x
2. Step 2: Convert to fraction form
   1,002.38/1,500.83 = 538.09/x
3. Step 3: Cross multiply
   1,002.38x = 1,500.83 × 538.09
4. Step 4: Simplify right side
   1,002.38x = 807,585.63
5. Step 5: Solve for x
   x = 807,585.63/1,002.38
6. Step 6: Final answer
   x = 805.67