Finding the Fourth Proportional to 1,176.37, 1,763.38 and 589.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,176.37 : 1,763.38 = 589.58 : x
2. Step 2: Convert to fraction form
   1,176.37/1,763.38 = 589.58/x
3. Step 3: Cross multiply
   1,176.37x = 1,763.38 × 589.58
4. Step 4: Simplify right side
   1,176.37x = 1,039,641.82
5. Step 5: Solve for x
   x = 1,039,641.82/1,176.37
6. Step 6: Final answer
   x = 883.77