Finding the Fourth Proportional to 1,004.42, 1,505.37 and 542.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.42 : 1,505.37 = 542.18 : x
2. Step 2: Convert to fraction form
   1,004.42/1,505.37 = 542.18/x
3. Step 3: Cross multiply
   1,004.42x = 1,505.37 × 542.18
4. Step 4: Simplify right side
   1,004.42x = 816,181.51
5. Step 5: Solve for x
   x = 816,181.51/1,004.42
6. Step 6: Final answer
   x = 812.59