Finding the Fourth Proportional to 1,172.67, 1,759.28 and 739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,172.67 : 1,759.28 = 739.50 : x
2. Step 2: Convert to fraction form
   1,172.67/1,759.28 = 739.50/x
3. Step 3: Cross multiply
   1,172.67x = 1,759.28 × 739.50
4. Step 4: Simplify right side
   1,172.67x = 1,300,983.86
5. Step 5: Solve for x
   x = 1,300,983.86/1,172.67
6. Step 6: Final answer
   x = 1,109.42