Finding the Fourth Proportional to 1,171.72, 1,757.32 and 522.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.72 : 1,757.32 = 522.04 : x
2. Step 2: Convert to fraction form
   1,171.72/1,757.32 = 522.04/x
3. Step 3: Cross multiply
   1,171.72x = 1,757.32 × 522.04
4. Step 4: Simplify right side
   1,171.72x = 917,391.33
5. Step 5: Solve for x
   x = 917,391.33/1,171.72
6. Step 6: Final answer
   x = 782.94