Finding the Fourth Proportional to 1,004.86, 1,506.84 and 355.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.86 : 1,506.84 = 355.42 : x
2. Step 2: Convert to fraction form
   1,004.86/1,506.84 = 355.42/x
3. Step 3: Cross multiply
   1,004.86x = 1,506.84 × 355.42
4. Step 4: Simplify right side
   1,004.86x = 535,561.07
5. Step 5: Solve for x
   x = 535,561.07/1,004.86
6. Step 6: Final answer
   x = 532.97