Finding the Fourth Proportional to 1,004.69, 1,505.81 and 542.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.69 : 1,505.81 = 542.18 : x
2. Step 2: Convert to fraction form
   1,004.69/1,505.81 = 542.18/x
3. Step 3: Cross multiply
   1,004.69x = 1,505.81 × 542.18
4. Step 4: Simplify right side
   1,004.69x = 816,409.83
5. Step 5: Solve for x
   x = 816,409.83/1,004.69
6. Step 6: Final answer
   x = 812.60