Finding the Fourth Proportional to 1,172.69, 1,759.27 and 523.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,172.69 : 1,759.27 = 523.42 : x
2. Step 2: Convert to fraction form
   1,172.69/1,759.27 = 523.42/x
3. Step 3: Cross multiply
   1,172.69x = 1,759.27 × 523.42
4. Step 4: Simplify right side
   1,172.69x = 920,837.10
5. Step 5: Solve for x
   x = 920,837.10/1,172.69
6. Step 6: Final answer
   x = 785.23