Finding the Fourth Proportional to 1,003.94, 1,506.56 and 542.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.94 : 1,506.56 = 542.04 : x
2. Step 2: Convert to fraction form
   1,003.94/1,506.56 = 542.04/x
3. Step 3: Cross multiply
   1,003.94x = 1,506.56 × 542.04
4. Step 4: Simplify right side
   1,003.94x = 816,615.78
5. Step 5: Solve for x
   x = 816,615.78/1,003.94
6. Step 6: Final answer
   x = 813.41