Finding the Fourth Proportional to 1,009.42, 1,513.92 and 522.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.42 : 1,513.92 = 522.42 : x
2. Step 2: Convert to fraction form
   1,009.42/1,513.92 = 522.42/x
3. Step 3: Cross multiply
   1,009.42x = 1,513.92 × 522.42
4. Step 4: Simplify right side
   1,009.42x = 790,902.09
5. Step 5: Solve for x
   x = 790,902.09/1,009.42
6. Step 6: Final answer
   x = 783.52