Finding the Fourth Proportional to 1,177.37, 1,763.50 and 559.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,177.37 : 1,763.50 = 559.20 : x
2. Step 2: Convert to fraction form
   1,177.37/1,763.50 = 559.20/x
3. Step 3: Cross multiply
   1,177.37x = 1,763.50 × 559.20
4. Step 4: Simplify right side
   1,177.37x = 986,153.89
5. Step 5: Solve for x
   x = 986,153.89/1,177.37
6. Step 6: Final answer
   x = 837.59